A Solution of the Fractional Differential Equations in the Setting of B-Metric Space
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Date
2021
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Vasyl Stefanyk Precarpathian Natl Univ
Open Access Color
GOLD
Green Open Access
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Abstract
In this paper, we study the existence of solutions for the following differential equations by using a fixed point theorems {D(c)(mu)w(sigma) +/- D(c)(nu)w(sigma) = h(sigma, w(sigma)), sigma is an element of J, 0 < nu < mu < 1, w(0) = w(0), where D-mu, D-nu is the Caputo derivative of order mu, nu, respectively and h: J x R -> R is continuous. The results are well demonstrated with the aid of exciting examples.
Description
Afshari, Hojat/0000-0003-1149-4336
ORCID
Keywords
Complete B-Metric Space, Caputo Derivative, Alpha-Psi-Geraghty Contractive Type Mapping, $\alpha$-$\psi$-geraghty contractive type mapping, complete $b$-metric space, QA1-939, caputo derivative, Mathematics
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Afshari, H.; Karapınar, E. (2021). "A solution of the fractional differential equations in the setting of b-metric space", Carpathian Mathematical Publications, Vol.13, No.3, pp.764-774.
WoS Q
Q2
Scopus Q
Q1
OpenCitations Citation Count
28
Source
Carpathian Mathematical Publications
Volume
13
Issue
3
Start Page
764
End Page
774
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Scopus : 35
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36
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25
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6
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