Applications of α-φ Geraghty for the existence results in a boundary value problem with the Mittag-Leffler kernel

Open Access

Original research article

Author(s):

R. Akbari, H. Afshari, A. Ahmadkhanlu*

R. Akbari
Department of Mathematics Education, Farhangian University, P.O.Box 14665-889, Tehran, Iran
H. Afshari
Department of Mathematics, Faculty of Science, University of Bonab, Bonab, Iran
A. Ahmadkhanlu
Department of Mathematics, Faculty of Basic Science, Azarbaijan Shahid Madani University, Tabriz, Iran

Advances in the Theory of Nonlinear Analysis and its Applications 8(1), 17-24.

Received: January 8, 2024

Accepted: April 28, 2024

Published: July 25, 2024

Abstract

‎This research studies some important conditions for the existence of a solution for a boundary value problem with the Mittag-Leffler kernel‎. ‎Our results are based on α-φ Geraghty type contractive mapping‎.

Keywords: Atangana-Baleano fractional Differential Operator,Fractional Differential Equations‎, ‎Boundary Value Problems

Share & Cite

APA Style

Akbari, R., Afshari, H., & Ahmadkhanlu, A. (2024). Applications of α-φ Geraghty for the existence results in a boundary value problem with the Mittag-Leffler kernel. Advances in the Theory of Nonlinear Analysis and Its Application, 8(1), 17–24.