A Discussion on the Existence of Positive Solutions of the Boundary Value Problems Via Ψ-Hilfer Fractional Derivative on B-Metric Spaces
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Abstract
In this paper, we investigate the existence of positive solutions for the new class of boundary value problems via psi -Hilfer fractional differential equations. For our purpose, we use the alpha-psi Geraghty-type contraction in the framework of the b-metric space. We give an example illustrating the validity of the proved results.
Description
Afshari, Hojat/0000-0003-1149-4336
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Keywords
Psi-Hilfer Fractional Derivative, Fixed Point, Positive Solution, Geraghty-Type Contraction, ψ-Hilfer Fractional Derivative, Positive solution, Geraghty-type contraction, QA1-939, Fixed point, ψ-Hilfer fractional derivative, Mathematics, Applications of operator theory to differential and integral equations, Fractional ordinary differential equations, fixed point, Fractional derivatives and integrals, positive solution, \(\psi\)-Hilfer fractional derivative
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Afshari, Hojjat; Karapınar, E. (2020). "A discussion on the existence of positive solutions of the boundary value problems via ψ-Hilfer fractional derivative on b-metric spaces", Advances in Difference Equations, Vol.2020, No.1.
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2020
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1
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