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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Survey of Numerical Analysis for Fractional Integro-Differential Equations

Discontinuity, Nonlinearity, and Complexity 14(1) (2025) 101--131 | DOI:10.5890/DNC.2025.03.007

Maha M. Hamood$^1$, Kirtiwant P. Ghadle$^2 $

$^1$ Department of Mathematics, Taiz University, Taiz, Yemen

$^{2} $ Department of Mathematics, Dr.Babasaheb Ambedkar Marathwada University, Aurangabad, India, 431004(MS)

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Abstract

As a result of the study carried out over the previous three decades, fractional calculus has become much more essential due to its broad use in science and engineering. Fractional derivatives and integrals can be used to explain the properties of memory and inheritance. Therefore, there is a growing demand to develop the various numerical methods for solving linear and nonlinear fractional integro-differential equations. In this essay, we reviewed the literature on basic ideas, analytical strategies and several numerical methodologies for solving linear and nonlinear fractional integro differential equations.

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