On Coupled Systems for Hilfer Fractional Differential Equations with Nonlocal Integral Boundary Conditions
Copyright policy )On Coupled Systems for Hilfer Fractional Differential Equations with Nonlocal Integral Boundary Conditions
In this paper, we study a coupled system involving Hilfer fractional derivatives with nonlocal integral boundary conditions. Existence and uniqueness results are obtained by applying Leray-Schauder alternative, Krasnoselskii’s fixed point theorem, and Banach’s contraction mapping principle. Examples illustrating our results are also presented.
- King Abdulaziz University Saudi Arabia
- University of Ioannina Greece
- King Mongkut's University of Technology North Bangkok Thailand
Fractional Differential Equations, Fractional ordinary differential equations, Theory and Applications of Fractional Differential Equations, Contraction mapping, Mathematical analysis, Fixed-point theorems, Banach fixed-point theorem, QA1-939, FOS: Mathematics, Schauder fixed point theorem, Fixed-point theorem, Boundary value problem, Internal medicine, Anomalous Diffusion Modeling and Analysis, Integral equation, Applied Mathematics, Fractional calculus, Contraction principle, Applied mathematics, Nonlocal Partial Differential Equations and Boundary Value Problems, Fractional Derivatives, Picard–Lindelöf theorem, Modeling and Simulation, Physical Sciences, Contraction (grammar), Medicine, Uniqueness, Nonlocal and multipoint boundary value problems for ordinary differential equations, Mathematics, Nonlinear Systems
Fractional Differential Equations, Fractional ordinary differential equations, Theory and Applications of Fractional Differential Equations, Contraction mapping, Mathematical analysis, Fixed-point theorems, Banach fixed-point theorem, QA1-939, FOS: Mathematics, Schauder fixed point theorem, Fixed-point theorem, Boundary value problem, Internal medicine, Anomalous Diffusion Modeling and Analysis, Integral equation, Applied Mathematics, Fractional calculus, Contraction principle, Applied mathematics, Nonlocal Partial Differential Equations and Boundary Value Problems, Fractional Derivatives, Picard–Lindelöf theorem, Modeling and Simulation, Physical Sciences, Contraction (grammar), Medicine, Uniqueness, Nonlocal and multipoint boundary value problems for ordinary differential equations, Mathematics, Nonlinear Systems
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