Investigating a Coupled Hybrid System of Nonlinear Fractional Differential Equations

Abstract

We study sufficient conditions for existence of solutions to the coupled systems of higher order hybrid fractional differential equations with three-point boundary conditions. For this motive, we apply the coupled fixed point theorem of Krasnoselskii type to form adequate conditions for existence of solutions to the proposed system. We finish the paper with suitable illustrative example.

Existence Results for Block Matrix Operator of Fractional Orders in Banach Algebras

“…Coupled systems of integral and differential equations are studied in many papers [9][10][11][12][13]. Especially, the investigation for coupled systems of fractional differential equations appears in many studies (e.g., [9,11,[14][15][16][17]).…”

Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for α -Admissible F ψ

“…Fractional hybrid differential equations (FHDEs) can be employed in modeling and describing nonhomogenous physical phenomena that take place in their form. FHDEs have been studied using a Riemann-Liouville differential operator of order α > 0 in many literature studies (see [22][23][24][25][26]).…”

L -Simulation Functions over b -Metric-Like Spaces and Fractional Hybrid Differential Equations

“…Fractional hybrid differential equations (in short, FHDEs) have been studied using Riemann-Liouville and Caputo fractional derivatives of order α > 0 in many literatures, see [22][23][24][25][26][27].…”