Progress in Fractional Differentiation & Applications


PFDA Cover Art

Published in collaboration with Near East University, Nicosia/TRNC, Mersin, Turkey

Editor-in-Chief: Dumitru Baleanu
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Progress in Fractional Differentiation and Applications (PFDA) is an international and interdisciplinary journal publishing original and high quality manuscripts in the emerging field of fractional differentiation and its potential applications.

The scope of the PFDA covers all theoretical and experimental aspects of the fractional differentiation and related approaches. Reviews, letters and original research articles dealing with topics as fractional and integral equations, fractional discrete calculus and fractional dynamics are welcome. The original submissions concerning the applications of fractional differentiation in signal analysis, bifurcations, chaos, bioengineering, economics, finance, fractal theory, optics, control systems, artificial intelligence, and fractional differential equations with uncertainty, mathematical biology and nanotechnology are encouraged.

Plagiarism, or copying text or results from other sources, is unethical behavior and is not tolerated at this journal. All manuscripts will be checked for originality using the CrossCheck database. For more information on CrossCheck please visit https://www.crossref.org/crosscheck.html

Progress in Fractional Differentiation and Applications is indexed in SCOPUS.

Frequency: 4 issues annually

Current Issue: Volume 9, Issue 1 (2023) Jan. 2023



A General Fractional-Order Viral Infection Model with Cell-to-Cell Transmission and Adaptive Immunity
Adnane Boukhouima, El Mehdi Lotfi, Marouane Mahrouf, Noura Yousfi, and Toshikazu Kuniya


On the Explicit Solution of ψ-Hilfer Integro-Differential Nonlocal Cauchy Problem
Mohammed A. Almalahi, Satish K. Panchal, Khaled Aldwoah, and Mansour Lotayif


Theoretical Analysis of HBV Infection Under Mittag-Leffler Derivative
Shabir Ahmad, Aman Ullah, Ali Akgu ̈l, and Hilal Al Bayatti


Theoretical and Computational Aspects of Fractional Hybrid Differential Equations
Habibulla Akhadkulov, Ali Fareed Jameel, Teh Yuan Ying, Sokhobiddin Akhatkulov, Abdel-Karrem Alomari, and Dulfikar Jawad Hashim


Caputo Type Fractional Differentiation for the Extended Generalized Mittag-Leffler Function
Daya Lal Suthar, Biniyam Shimelis, Faruk Ucar, and Sunil Dutt Purohit