"On Nonlinear Multi-Term Fractional Integro-Differential Equations with" by Bashir Ahmad, Ravi P. Agarwal et al.

Progress in Fractional Differentiation & Applications

Article Title

On Nonlinear Multi-Term Fractional Integro-Differential Equations with Anti-Periodic Boundary Conditions

Authors

Bashir Ahmad, Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaFollow
Ravi P. Agarwal, Department of Mathematics, Texas A& M University, Kingsville, Texas 78363-8202, USAFollow
Manal Alblewi, Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaFollow
Ahmed Alsaedi, Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaFollow

Author Country (or Countries)

Saudi Arabia

Abstract

We present the existence criteria for solutions of an anti-periodic boundary value problem involving a nonlinear multi-term Caputo-type fractional integro-differential equation with a Riemann-Liouville fractional integral operator. We also extend our study to the case of three different types of nonlinearities. Examples are constructed for demonstrating the application of the obtained results.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/080301

Recommended Citation

Ahmad, Bashir; P. Agarwal, Ravi; Alblewi, Manal; and Alsaedi, Ahmed (2022) "On Nonlinear Multi-Term Fractional Integro-Differential Equations with Anti-Periodic Boundary Conditions," Progress in Fractional Differentiation & Applications: Vol. 8: Iss. 3, Article 1.
DOI: http://dx.doi.org/10.18576/pfda/080301
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol8/iss3/1

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