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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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Date

2020

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Publisher

Springer

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GOLD

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No

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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

Keywords

Psi-Hilfer Fractional Derivative, Fixed Point, Positive Solution, Geraghty-Type Contraction, 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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OpenCitations Citation Count
76

Source

Advances in Difference Equations

Volume

2020

Issue

1

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Scopus : 106

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Mendeley Readers : 6

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111

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91

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4

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