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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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Published Papers

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Axioms - ISSN 2075-1680