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Advances in Fractional-Order Difference and Differential Equations

This special issue belongs to the section “Mathematical Analysis“.

Special Issue Information

Dear Colleagues,

Fractional-order difference and differential equations serve as robust tools for modeling, analyzing, and controlling systems characterized by memory effects, non-local interactions, and complex dynamic behavior, making them essential in contemporary applied mathematics and engineering. This Special Issue, “Advances in Fractional-Order Difference and Differential Equations”, functions as a focused knowledge platform, facilitating the development and application of advanced methodologies while fostering collaboration and knowledge exchange within the global research community.

Dr. Azhar Ali Zafar
Prof. Dr. Nehad Ali Shah
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

fractional calculus
non-integer order systems
memory effects
non-local operators
anomalous diffusion
hereditary systems
control systems
signal processing
viscoelastic materials
biological systems
heat and mass transfer
financial modeling
image processing
epidemiological modeling
discrete dynamical systems
operator theory
stability analysis
existence and uniqueness
Laplace transform method
Adomian decomposition
finite difference schemes
predictor–corrector method

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Axioms - ISSN 2075-1680

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