Solving systems of coupled nonlinear Atangana–Baleanu-type fractional differential equations

Hasanen A. Hammad, Mohra Zayed
2022 Boundary Value Problems  
AbstractIn this work, we investigate two types of boundary value problems for a system of coupled Atangana–Baleanu-type fractional differential equations with nonlocal boundary conditions. The fractional derivatives are applied to serve as a nonlocal and nonsingular kernel. The existence and uniqueness of solutions for proposed problems using Krasnoselskii's and Banach's fixed-point approaches are established. Moreover, nonlinear analysis is used to build the Ulam–Hyers stability theory.
more » ... ently, we discuss two compelling examples to demonstrate the utility of our study.
doi:10.1186/s13661-022-01684-0 fatcat:oef7ikvannhmlfpu2n3sryiuqe