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

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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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
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spelling doaj-9003ba1286154ea89c0748daf14879e22020-12-21T11:41:31ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/46507614650761L-Simulation Functions over b-Metric-Like Spaces and Fractional Hybrid Differential EquationsShimaa I. Moustafa0Ayman Shehata1Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptDepartment of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptIn 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.http://dx.doi.org/10.1155/2020/4650761
collection DOAJ
language English
format Article
sources DOAJ
author Shimaa I. Moustafa
Ayman Shehata
spellingShingle Shimaa I. Moustafa
Ayman Shehata
L-Simulation Functions over b-Metric-Like Spaces and Fractional Hybrid Differential Equations
Journal of Function Spaces
author_facet Shimaa I. Moustafa
Ayman Shehata
author_sort Shimaa I. Moustafa
title L-Simulation Functions over b-Metric-Like Spaces and Fractional Hybrid Differential Equations
title_short L-Simulation Functions over b-Metric-Like Spaces and Fractional Hybrid Differential Equations
title_full L-Simulation Functions over b-Metric-Like Spaces and Fractional Hybrid Differential Equations
title_fullStr L-Simulation Functions over b-Metric-Like Spaces and Fractional Hybrid Differential Equations
title_full_unstemmed L-Simulation Functions over b-Metric-Like Spaces and Fractional Hybrid Differential Equations
title_sort l-simulation functions over b-metric-like spaces and fractional hybrid differential equations
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2020-01-01
description 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.
url http://dx.doi.org/10.1155/2020/4650761
work_keys_str_mv AT shimaaimoustafa lsimulationfunctionsoverbmetriclikespacesandfractionalhybriddifferentialequations
AT aymanshehata lsimulationfunctionsoverbmetriclikespacesandfractionalhybriddifferentialequations
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