AIMS Mathematics, 2020, 5(6): 7175-7190. doi: 10.3934/math.2020459.

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A nonlocal boundary value problems for hybrid ϕ-Caputo fractional integro-differential equations

1 College of Science, Tianjin University of Technology, Tianjin 300384, China
2 School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China

Special Issues: Nonlinear Differential Equations and Applications

In this paper, we discuss the existence of solutions for a nonlocal boundary value problems for hybrid ϕ-Caputo fractional integro-differential equations. Our main result is based on a hybrid fixed point theorem due to Dhage. Finally, we give an example to illustrate our main result.
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Keywords boundary value problem; existence of solutions; hybrid ϕ-Caputo fractional differential equation; integro-differential equations; hybrid fixed point theorem

Citation: Dehong Ji, Weigao Ge. A nonlocal boundary value problems for hybrid ϕ-Caputo fractional integro-differential equations. AIMS Mathematics, 2020, 5(6): 7175-7190. doi: 10.3934/math.2020459

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