Work

Implicit Hybrid Fractional Boundary Value Problem via Generalized Hilfer Derivative

Year: 2021

Type: article

Abstract: This research paper is dedicated to the study of a class of boundary value problems for a nonlinear, implicit, hybrid, fractional, differential equation, supplemented with boundary conditions involving general fractional derivatives, known as the ϑ-Hilfer and ϑ-Riemann–Liouville fractional operators. The existence of solutions to the mentioned problem is obtained by some auxiliary conditions and applied Dhage’s fixed point theorem on Banach algebras. The considered problem covers some symmetry cases, with respect to a ϑ function. Moreover, we present a pertinent example to corroborate the reported results.

Source: Symmetry

DOI: 10.3390/sym13101937

Authors: Abdellatif ‬Boutiara, Mohammed S. ‬Abdo, Mohammed A. ‬Almalahi, Hijaz Ahmad, Amira Ishan

Institutions: University of Ghardaia, Hodeidah University, Hajjah University, UniNettuno University, Taif University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,944

Funder: Taif University