Existence of Solutions of Integral and Fractional Differential Equations Using α-type Rational F-contractions in Metric-like Spaces

We present ${\alpha}$-type rational F-contractions in metric-like spaces, and respective fixed and common fixed point results for weakly ${\alpha}$-admissible mappings. Useful examples illustrate the effectiveness of the presented results. As applications, we obtain sufficient conditions for the exi...

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Bibliographic Details
Published inKyungpook mathematical journal Vol. 58; no. 4; pp. 651 - 675
Main Authors Nashine, Hemant Kumar, Kadelburg, Zoran, Agarwal, Ravi P
Format Journal Article
LanguageKorean
Published 2018
Subjects
metric-like space
F-contraction
integral equation
fractional differential equation
weakly ${\alpha}$-admissible mapping
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Summary:We present ${\alpha}$-type rational F-contractions in metric-like spaces, and respective fixed and common fixed point results for weakly ${\alpha}$-admissible mappings. Useful examples illustrate the effectiveness of the presented results. As applications, we obtain sufficient conditions for the existence of solutions of a certain type of integral equations followed by examples of nonlinear fractional differential equations that are verified numerically.
Bibliography:KISTI1.1003/JNL.JAKO201809863001990
ISSN:1225-6951
0454-8124