NEW CLASS OF NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH THEORETICAL ANALYSIS VIA FIXED POINT APPROACH: NUMERICAL AND EXACT SOLUTIONS

Mahmoud S. Rawashdeh; Nazek A. Obeidat; Hala Abedalqader

doi:10.11948/20220575

2023 Volume 13 Issue 5

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Mahmoud S. Rawashdeh, Nazek A. Obeidat, Hala Abedalqader. NEW CLASS OF NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH THEORETICAL ANALYSIS VIA FIXED POINT APPROACH: NUMERICAL AND EXACT SOLUTIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(5): 2767-2787. doi: 10.11948/20220575

Citation:

Mahmoud S. Rawashdeh, Nazek A. Obeidat, Hala Abedalqader. NEW CLASS OF NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH THEORETICAL ANALYSIS VIA FIXED POINT APPROACH: NUMERICAL AND EXACT SOLUTIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(5): 2767-2787. doi: 10.11948/20220575

NEW CLASS OF NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH THEORETICAL ANALYSIS VIA FIXED POINT APPROACH: NUMERICAL AND EXACT SOLUTIONS

1.
Department of Mathematics and Statistics, Jordan University of Science and Technology, P. O. Box 3030, 22110 Irbid, Jordan

Author Bio: Email: msalrawashdeh@just.edu.jo(M. S. Rawashdeh); Email: hsabedalqader@gmail.com(H. Abedalqader)
Corresponding author: Email: obeidatnazek@gmail.com(N. A. Obeidat)

Abstract

Abstract

The analysis of fractional Integro-differential equations is valuable for researchers in the science community. For the present work, we examine the analysis of a newly technique called the Fractional Decomposition Method (FDM) via fixed point approach applies to nonlinear fractional Volterra Integro-Differential equations. Then, we implement the method on four test problems such as; Fractional Volterra Integro-Differential Equations (FVIDE). We present exact and approximate solutions to fractional Volterra Integro-Differential equations. The Caputo fractional derivative will be considered in the current work.
- Fixed-point theory /
- fractional calculus /
- Volterra integro-differential equation /
- Caputo fractional derivative
MSC: 34A08, 34A12, 45J05, 34D20, 33E12, 35C10

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