Analytical Study of Two Nonlinear Coupled Hybrid Systems Involving Generalized Hilfer Fractional Operators
Mohammed A. Almalahi, Omar Bazighifan, Satish K. Panchal, Sameh Askar, Georgia Irina Oros
Abstract
In this research paper, we dedicate our interest to an investigation of the sufficient conditions for the existence of solutions of two new types of a coupled systems of hybrid fractional differential equations involving ϕ-Hilfer fractional derivatives. The existence results are established in the weighted space of functions using Dhage’s hybrid fixed point theorem for three operators in a Banach algebra and Dhage’s helpful generalization of Krasnoselskii fixed- point theorem. Finally, simulated examples are provided to demonstrate the obtained results.
Topics & Concepts
Fixed-point theoremGeneralizationMathematicsBanach spaceNonlinear systemFractional calculusFixed pointApplied mathematicsPure mathematicsAlgebra over a fieldMathematical analysisQuantum mechanicsPhysicsNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsFixed Point Theorems Analysis