Existence and Successive Approximations for Implicit Deformable Fractional Differential Boundary Value Problems
Abdellatif Benchaiba, Salim Krimb, Abdelkrim Salimb,c and Mouffak Benchohrab
aDepartment of Mathematics, University of Tlemcen, Algeria
bLaboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89, Sidi Bel-Abbes 22000, Algeria
cFaculty of Technology, Hassiba Benbouali University of Chlef, P.O. Box 151 Chlef 02000, Algeria
Received on August 5, 2023, revised on August 13, 2024
Accepted on August 13, 2024
Communicated by Gaston M. N'Guérékata
| Abstract. The focus of this paper is the investigation of a particular type of nonlinear deformable fractional differential equations, and analyzing their existence results. Our approach involves utilizing relevant fixed point theorems, we also explore the global convergence of successive approximations to provide additional insights into the topic. To further illustrate our findings, we provide several examples that supplement our main results. | |
| Keywords: | Implicit differential equations, fractional differential equations, deformable fractional derivative, existence, fixed point, global convergence, successive approximations. |
| 2010 Mathematics Subject Classification: 26A33, 34A08, 34K37. | |
This article is not yet published, it will be available for download soon.