Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations

Bashir Ahmad; Amjad F. Albideewi; Sotiris K. Ntouyas; Ahmed Alsaedi

doi:10.4067/S0719-06462021000200225

DOI:

https://doi.org/10.4067/S0719-06462021000200225

Abstract

In this paper, existence and uniqueness results are established for a nonlinear sequential Hadamard fractional differential equation with multi-point boundary conditions, via Banach and Krasnosel'skiÇ's fixed point theorems and Leray-Schauder nonlinear alternative. An example illustrating the existence of a unique solution is also constructed.

Keywords

Hadamard fractional integral , Hadamard fractional derivative , multi-point boundary conditions , existence , fixed point theorems

Bashir Ahmad Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
Amjad F. Albideewi Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
Sotiris K. Ntouyas University of Ioannina, 451 10 Ioannina, Greece – Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
Ahmed Alsaedi Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.

Pages: 225–237
Date Published: 2021-08-01
Vol. 23 No. 2 (2021)

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