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

In this paper, we establish some fixed point results for αqsp-admissible mappings embedded in L-simulation functions in the context of b-metric-like spaces. As an application, we discuss the existence of a unique solution for fractional hybrid differential equation with multipoint boundary condition...

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Bibliographic Details
Main Authors: Shimaa I. Moustafa, Ayman Shehata
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/4650761
Description
Summary:In this paper, we establish some fixed point results for αqsp-admissible mappings embedded in L-simulation functions in the context of b-metric-like spaces. As an application, we discuss the existence of a unique solution for fractional hybrid differential equation with multipoint boundary conditions via Caputo fractional derivative of order 1<α≤2. Some examples and corollaries are also considered to illustrate the obtained results.
ISSN:2314-8896
2314-8888