2020 Positive Solution for the Integral and Infinite Point Boundary Value Problem for Fractional-Order Differential Equation Involving a Generalized ϕ-Laplacian Operator
Nadir Benkaci-Ali
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Abstr. Appl. Anal. 2020: 1-11 (2020). DOI: 10.1155/2020/2127071

Abstract

In this paper, we establish the existence of nontrivial positive solution to the following integral-infinite point boundary-value problem involving ϕ-Laplacian operator D0+αϕ(x,D0+βu(x))+f(x,u(x))=0, x(0,1),D0+σu(0)=D0β+u(0)=0, u(1)=01g(t)u(t)dt+n=1n=+αnu(ηn), where ϕ:[0,1]×RR is a continuous function and D0+p is the Riemann-Liouville derivative for p{a,β, σ}. By using some properties of fixed point index, we obtain the existence results and give an example at last.

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Nadir Benkaci-Ali. "Positive Solution for the Integral and Infinite Point Boundary Value Problem for Fractional-Order Differential Equation Involving a Generalized ϕ-Laplacian Operator." Abstr. Appl. Anal. 2020 1 - 11, 2020. https://doi.org/10.1155/2020/2127071

Information

Received: 9 June 2020; Accepted: 31 July 2020; Published: 2020
First available in Project Euclid: 28 July 2020

Digital Object Identifier: 10.1155/2020/2127071

Rights: Copyright © 2020 Hindawi

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