Fractional Calculus and Applied Analysis

Aims & Scope

Fractional Calculus and Applied Analysis (FCAA, abbreviated in the World databases as Fract.

Calc.

Appl.

Anal. or FRACT CALC APPL ANAL) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order.

Primary topics of FCAA:
 Fractional Calculus (FC) Special Functions and Integral Transforms, related to FC Fractional Order Differential and Integral Equations and Systems Mathematical Models of Phenomena, described by the above topics Secondary topics from Applied Mathematical Analysis, iff related to FC:
 Algebraic Analysis, Operational and Convolutional Calculi Generalized Functions, Harmonic Analysis Numerical and Approximation Methods, Computational Procedures and Algorithms, related to the Primary FCAA topics Fractional Stochastic Processes Fractal and Integral Geometry Applications of these techniques to:
 Differential and Integral Equations, Problems of Mathematical Physics Control Theory, Mechanics, Probability and Statistics, Finances, Engineering, etc.

Other contributions:
 If revealing connections between Fractional Calculus and the above-mentioned topics to model problems of the real physical and social world.

View Aims & Scope

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Metrics & Ranking

Impact Factor

Year	Value
2025	2.9
2024	2.50

Journal Rank

Year	Value
2024	4431

Journal Citation Indicator

Year	Value
2024	849

SJR (SCImago Journal Rank)

Year	Value
2024	1.054

Quartile

Year	Value
2024	Q1

h-index

Year	Value
2024	69

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Abstracting & Indexing

Journal is indexed in leading academic databases, ensuring global visibility and accessibility of our peer-reviewed research.

• Scopus
• Google Scholar
• Web of Science

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Subjects & Keywords

Journal’s research areas, covering key disciplines and specialized sub-topics in Mathematics, designed to support cutting-edge academic discovery.

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Most Cited Articles

The Most Cited Articles section features the journal's most impactful research, based on citation counts. These articles have been referenced frequently by other researchers, indicating their significant contribution to their respective fields.

• Ten Equivalent Definitions of the Fractional Laplace Operator

  Citation: 434

  Authors: Mateusz

• A Review on Variable-Order Fractional Differential Equations: Mathematical Foundations, Physical Models, Numerical Methods and Applications

  Citation: 316

  Authors: HongGuang, Ailian, Yong, Wen

• Numerical methods for solving the multi-term time-fractional wave-diffusion equation

  Citation: 270

  Authors: Fawang, Mark M., Robert J., Pinghui, Qingxia

• Fractional Calculus in Image Processing: A Review

  Citation: 245

  Authors: Qi, Dali, Tiebiao, YangQuan

• A finite element method for time fractional partial differential equations

  Citation: 207

  Authors: Neville J., Jingyu, Yubin

• A survey on impulsive fractional differential equations

  Citation: 201

  Authors: JinRong, Michal

• On explicit stability conditions for a linear fractional difference system

  Citation: 190

  Authors: Jan, István, Ludĕk

• Some pioneers of the applications of fractional calculus

  Citation: 175

  Authors: Duarte, José Tenreiro, Virginia

• Time-fractional diffusion equation in the fractional Sobolev spaces

  Citation: 169

  Authors: Rudolf, Yuri, Masahiro

• Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation

  Citation: 159

  Authors: Yuri

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