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Fixed Point Theorems for Multi-Valued Contractions in b-Metric Spaces With Applications to Fractional Differential and Integral Equations
Journal article   Open access  Peer reviewed

Fixed Point Theorems for Multi-Valued Contractions in b-Metric Spaces With Applications to Fractional Differential and Integral Equations

Muhammad Shoaib, Thabet Abdeljawad, Muhammad Sarwar and Fahd Jarad
IEEE access, Vol.7, pp.127373-127383
01/01/2019
DOI: https://doi.org/10.1109/ACCESS.2019.2938635

Abstract

Computer Science Computer Science, Information Systems Engineering Engineering, Electrical & Electronic Science & Technology Technology Telecommunications
The aim of this manuscript is to establish common fixed points results for multi-valued mappings via generalized rational type contractions in complete b-metric spaces. Using the derived results, existence of solutions to certain integral equations and fractional differential equations in the frame of Caputo fractional derivative are studied. Examples are provided for the authenticity of the presented work.
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https://doi.org/10.1109/ACCESS.2019.2938635View
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