A nonlocal boundary value problems for hybrid <em>ϕ</em>-Caputo fractional integro-differential equations

Dehong Ji; Weigao Ge; Dehong Ji; Weigao Ge

doi:10.3934/math.2020459

AIMS Mathematics

2020, Volume 5, Issue 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

Dehong Ji ^{1
,
,},
Weigao Ge ²

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

Received: 31 July 2020 Accepted: 06 September 2020 Published: 11 September 2020
MSC : 34A08, 26A33

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

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Abstract

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.

References

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