Fractional Calculus and Applied Analysis

Scope & Guideline

Shaping the Future of Mathematics Through Fractional Insights

Introduction

Welcome to the Fractional Calculus and Applied Analysis information hub, where our guidelines provide a wealth of knowledge about the journal’s focus and academic contributions. This page includes an extensive look at the aims and scope of Fractional Calculus and Applied Analysis, highlighting trending and emerging areas of study. We also examine declining topics to offer insight into academic interest shifts. Our curated list of highly cited topics and recent publications is part of our effort to guide scholars, using these guidelines to stay ahead in their research endeavors.
LanguageEnglish
ISSN1311-0454
PublisherSPRINGERNATURE
Support Open AccessNo
CountrySwitzerland
TypeJournal
Convergefrom 2011 to 2024
AbbreviationFRACT CALC APPL ANAL / Fract. Calc. Appl. Anal.
Frequency4 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressCAMPUS, 4 CRINAN ST, LONDON N1 9XW, ENGLAND

Aims and Scopes

The journal 'Fractional Calculus and Applied Analysis' focuses on the development, analysis, and application of fractional calculus and its methodologies. It serves as a platform for researchers to publish high-quality papers that advance the understanding of fractional differential equations and their applications across various disciplines.
  1. Fractional Differential Equations:
    The journal emphasizes the study of fractional differential equations, exploring their existence, uniqueness, and properties. This includes both linear and non-linear equations, and their applications in various fields such as physics, engineering, and finance.
  2. Numerical Methods and Approximations:
    There is a strong focus on the development and analysis of numerical methods for solving fractional differential equations. This includes collocation methods, finite difference methods, and other computational techniques that enhance the accuracy and efficiency of solving these equations.
  3. Applications in Various Fields:
    The journal covers a wide range of applications of fractional calculus in fields such as physics, biology, finance, and engineering. This includes modeling phenomena that exhibit memory and hereditary properties, which are better represented using fractional derivatives.
  4. Theoretical Developments:
    Theoretical advancements in fractional calculus, including new definitions, properties, and frameworks, are a core area of interest. This also encompasses the exploration of fractional operators, inequalities, and stability analysis.
  5. Interdisciplinary Approaches:
    The journal encourages interdisciplinary research that combines fractional calculus with other mathematical fields, such as stochastic processes, control theory, and optimization, highlighting the versatility and applicability of fractional calculus.
The journal is witnessing emerging trends that reflect the evolving landscape of fractional calculus research. These trends indicate areas of growing interest and significance within the community.
  1. Fractional Stochastic Analysis:
    There is an increasing focus on fractional stochastic differential equations and their applications in finance and physics. This trend highlights the importance of incorporating randomness and uncertainty into fractional models.
  2. Complex Systems and Nonlinear Dynamics:
    Research on fractional calculus applied to complex systems and nonlinear dynamics is gaining traction. This includes studies on chaos, bifurcations, and control of nonlinear fractional systems, showcasing the applicability of fractional calculus in real-world complex phenomena.
  3. Interdisciplinary Applications:
    Emerging themes include interdisciplinary applications of fractional calculus in fields such as epidemiology, economics, and environmental science. This trend reflects the growing recognition of the utility of fractional models in addressing complex problems across various disciplines.
  4. Advanced Numerical Techniques:
    There is a notable trend towards the development of advanced numerical techniques for fractional differential equations, including adaptive methods and machine learning approaches. This reflects a demand for more efficient and accurate computational tools.
  5. Fractional Control Theory:
    The application of fractional calculus in control theory, particularly in the design and analysis of fractional-order controllers, is increasingly popular. Researchers are exploring the benefits of fractional control strategies in enhancing system performance and stability.

Declining or Waning

While 'Fractional Calculus and Applied Analysis' continues to thrive in many areas, certain themes appear to be declining in prominence. This may reflect shifts in research focus or the maturation of previously explored topics.
  1. Basic Theoretical Studies:
    There seems to be a waning interest in purely theoretical studies of fractional calculus without direct applications. Researchers are increasingly seeking practical applications and numerical methods rather than solely focusing on theoretical frameworks.
  2. Static Models:
    The frequency of publications focusing on static models of fractional calculus is decreasing. This shift may indicate a broader interest in dynamic systems and time-dependent models that incorporate memory effects.
  3. Simple Fractional Operators:
    Research on basic fractional operators, such as the Riemann-Liouville and Caputo derivatives, is becoming less frequent. Instead, there is a trend towards more complex and generalized fractional operators that account for various boundary conditions and nonlocal effects.

Similar Journals

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS

Elevating Mathematical Discourse Since 1971
Publisher: ROCKY MT MATH CONSORTIUMISSN: 0035-7596Frequency: 6 issues/year

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, published by the Rocky Mountain Math Consortium, serves as a critical platform for researchers and practitioners in the field of mathematics since its inception in 1971. With a notable presence in the academic community, this journal covers a broad spectrum of mathematical disciplines, positioning itself in the Q2 category for Mathematics (miscellaneous) as of 2023. Despite being a subscription-based journal, it is recognized for its rigorous peer-review process and contributions to theoretical and applied mathematics, helping to advance knowledge and foster collaboration among mathematicians. The journal's ISSN number is 0035-7596 and its E-ISSN is 1945-3795, reflecting its commitment to accessibility and dissemination of high-quality research. Based in Tempe, Arizona, at Arizona State University, the journal continues to play an important role in shaping contemporary mathematical discourse through well-researched articles and innovative studies, aiming to bridge gaps between various mathematical subfields and engage a diverse audience, including students and established researchers alike.

Journal of Integral Equations and Applications

Advancing Knowledge in Applied Mathematics.
Publisher: ROCKY MT MATH CONSORTIUMISSN: 0897-3962Frequency: 4 issues/year

Journal of Integral Equations and Applications, published by the ROCKY MT MATH CONSORTIUM, is a pivotal resource in the field of Applied Mathematics and Numerical Analysis. With its inaugural issue released in 1988, this journal has consistently served as a platform for the dissemination of innovative research and comprehensive reviews pertinent to integral equations and their multifaceted applications. Although the journal currently does not offer an open access option, it boasts a competitive standing with a 2023 Scopus ranking that places it in the Q3 category for both Applied Mathematics and Numerical Analysis, emphasizing its significance among peer publications. The ISSN 0897-3962 and E-ISSN 1938-2626 ensure its accessibility to scholars seeking to advance their understanding in these critical areas. As it strides towards its convergence goals culminating in 2024, the Journal of Integral Equations and Applications remains an essential resource for researchers, professionals, and students eager to explore the theoretical and practical applications of integral equations.

Analysis-International Mathematical Journal of Analysis and its Applications

Navigating the Intersection of Theory and Practice in Mathematics
Publisher: WALTER DE GRUYTER GMBHISSN: 0174-4747Frequency: 4 issues/year

Analysis - International Mathematical Journal of Analysis and its Applications, published by Walter de Gruyter GmbH, has been a pivotal resource in the fields of analysis and applied mathematics since its inception in 1981. This journal, with the ISSN 0174-4747 and E-ISSN 2196-6753, aims to bridge theoretical and practical applications of mathematical principles, catering to a global audience of researchers, professionals, and students. Operating from Berlin, Germany, it has established a reputation for publishing high-quality, peer-reviewed articles that contribute significantly to the understanding of analysis, numerical methods, and their applications in various scientific domains. While currently not an Open Access journal, it offers a wealth of knowledge to those invested in advancing mathematical theories and their real-world applications. The journal's presence in the Q3 quartile category across critical mathematical disciplines, as denoted by its Scopus rankings, reflects its commitment to scholarly excellence and relevance in a rapidly evolving field. With contributions expected to continue through 2024, Analysis remains an essential platform for advancing discourse and dissemination of innovative mathematical ideas.

Punjab University Journal of Mathematics

Unveiling insights that shape the future of mathematics.
Publisher: UNIV PUNJAB, DEPT MATHEMATICSISSN: Frequency: 12 issues/year

Punjab University Journal of Mathematics is a prestigious academic journal published by the Department of Mathematics at the University of Punjab, Pakistan. Dedicated to advancing the field of mathematics, this journal provides a platform for researchers, educators, and students to disseminate their findings, foster scholarly dialogue, and promote innovative mathematical research. With a strong focus on theoretical and applied mathematics, the journal maintains a rigorous peer-review process to ensure high-quality publications that significantly contribute to the mathematical community. Although currently not indexed in prominent databases, the journal aims to elevate its visibility and impact through consistent publication of cutting-edge research. The absence of Open Access reflects a commitment to quality and thorough review, but researchers are encouraged to seek out this valuable resource for its insights and diverse contributions to mathematics.

Complex Variables and Elliptic Equations

Bridging Theory and Application in Mathematics
Publisher: TAYLOR & FRANCIS LTDISSN: 1747-6933Frequency: 12 issues/year

Complex Variables and Elliptic Equations is a distinguished academic journal published by TAYLOR & FRANCIS LTD, focused on the intricate interplay between complex variables and elliptic equations. With an ISSN of 1747-6933 and an E-ISSN of 1747-6941, this journal serves as a vital platform for researchers and practitioners in the fields of Analysis, Applied Mathematics, Computational Mathematics, and Numerical Analysis. With a publishing history spanning from 2007 to 2024, the journal is recognized for its substantial contributions, as evidenced by its Q2 ranking in Applied Mathematics and Numerical Analysis, and Q3 in Analysis and Computational Mathematics for 2023. Notably, it occupies various Scopus ranks that reflect its ongoing academic relevance—ranked #86 in Mathematics Analysis and #49 in Numerical Analysis. While it does not currently operate under an open-access model, the journal remains an indispensable resource for advancing mathematical theory and its practical applications. Researchers, students, and professionals alike will find invaluable insights and developments that push the boundaries of mathematical inquiry.

International Journal of Optimization and Control-Theories & Applications-IJOCTA

Pioneering Research in Optimization and Control for a Better Tomorrow.
Publisher: RAMAZAN YAMANISSN: 2146-0957Frequency: 4 issues/year

International Journal of Optimization and Control-Theories & Applications (IJOCTA), published by Ramazan Yaman, stands as a pivotal platform in the fields of applied mathematics and control optimization. With an ISSN of 2146-0957 and an E-ISSN of 2146-5703, IJOCTA has embraced an Open Access model since 2011, ensuring that its scholarly contributions are widely accessible to researchers, professionals, and students alike. Based in Turkey at the Istanbul Atlas University, the journal is committed to advancing the scope of optimization and control theories, featuring comprehensive studies that bridge theoretical foundations with practical applications. Despite its relatively recent surge, IJOCTA has achieved impressive standings, including a Q3 quartile ranking in both Applied Mathematics and Control and Optimization for 2023, alongside commendable Scopus rankings (Rank #192 in Applied Mathematics and Rank #44 in Control and Optimization). These metrics underscore the journal’s growing significance and impact within the global research community, making it an invaluable resource for those seeking to explore contemporary developments in optimization and control.

Advances in Differential Equations and Control Processes

Connecting Theory and Practice in Applied Mathematics
Publisher: PUSHPA PUBLISHING HOUSEISSN: 0974-3243Frequency: 4 issues/year

Advances in Differential Equations and Control Processes, published by PUSHPA PUBLISHING HOUSE, is a leading journal dedicated to the exploration and advancement of differential equations and control processes, critical areas of study within applied mathematics and engineering. With its ISSN 0974-3243, this journal offers a platform for researchers, practitioners, and students to publish and disseminate innovative findings, methodologies, and applications. Although currently not listed as open access, the journal invites submissions that contribute to the theoretical and practical aspects of differential equations, showcasing significant advancements in both fields. By fostering a rigorous peer-review process, it aims to maintain high standards of publication quality, thus holding a vital place in the academic landscape. The journal also serves as a valuable resource for those interested in the intersection of mathematics, physics, and engineering, encouraging collaboration and dialogue among scholars across disciplines. Discover the latest research and developments that drive the future of differential equations by exploring the rich content this journal has to offer.

Vestnik Udmurtskogo Universiteta-Matematika Mekhanika Kompyuternye Nauki

Bridging disciplines for a smarter future.
Publisher: UDMURT STATE UNIVISSN: 1994-9197Frequency: 4 issues/year

Vestnik Udmurtskogo Universiteta-Matematika Mekhanika Kompyuternye Nauki is a distinguished academic journal published by Udmurt State University, based in the Russian Federation. Catering to an interdisciplinary audience, this journal spans fields such as computer science, mathematics, and fluid dynamics, with a focus on disseminating innovative research findings that contribute to the theoretical and applied aspects of these domains. As an Open Access journal, it provides researchers, professionals, and students with an unrestricted opportunity to access high-quality scientific content, promoting the exchange of knowledge and fostering collaboration. With categories ranked in the third quartile (Q3) in areas such as General Mathematics and Fluid Flow and Transfer Processes, the journal is vital for those looking to stay abreast of evolving methodologies and applications in these rapidly advancing fields. The unique positioning of this journal, serving as a platform for scholarly articles, further emphasizes its importance as a valuable resource for advancing academic discourse and research development up to the year 2024 and beyond.

Computational Methods for Differential Equations

Advancing Computational Techniques for Mathematical Mastery
Publisher: UNIV TABRIZISSN: 2345-3982Frequency: 4 issues/year

Computational Methods for Differential Equations is a prominent academic journal dedicated to the exploration and application of computational techniques in the realm of differential equations. Published by UNIV TABRIZ, this open-access journal has been providing unrestricted access to groundbreaking research since 2013, making it a valuable resource for the global academic community, particularly in Iran. It has carved out a niche within the fields of Algebra and Number Theory, Applied Mathematics, and Numerical Analysis, maintaining a Q3 quartile ranking in 2023 across these categories. Researchers, professionals, and students alike will find the journal's commitment to disseminating innovative computational methodologies essential for advancing knowledge and developing robust solutions to complex mathematical problems. With its ISSN 2345-3982 and E-ISSN 2383-2533, the journal ensures wide visibility and accessibility, serving a diverse audience and promoting scholarly discourse.

APPLICABLE ANALYSIS

Shaping modern mathematics through rigorous research.
Publisher: TAYLOR & FRANCIS LTDISSN: 0003-6811Frequency: 12 issues/year

APPLICABLE ANALYSIS, published by Taylor & Francis Ltd, is an esteemed journal dedicated to advancing research in the fields of analysis and applied mathematics. With its ISSN 0003-6811 and E-ISSN 1563-504X, the journal has been a cornerstone of scholarly communication since its inception in 1971, with a convergence of content projected until 2024. Belonging to the Q2 category for both Analysis and Applied Mathematics as of 2023, it ranks impressively at #58 out of 193 in the field of Mathematics Analysis and #274 out of 635 in Mathematics Applied Mathematics as per Scopus metrics. Although the journal currently does not offer Open Access, it continues to provide valuable insights and cutting-edge research that is vital for academics, professionals, and students who seek to deepen their understanding and application of analytical techniques in various contexts. Its commitment to high-quality research plays a significant role in shaping the landscape of modern mathematics.