Nontrivial solutions for an integral boundary value problem involving Riemann-Liouville fractional derivatives

Donal O'Regan

doi:10.1186/s13660-019-2058-y

Nontrivial solutions for an integral boundary value problem involving Riemann-Liouville fractional derivatives

Donal O'Regan

Mathematics

Shandong University of Science and Technology
Chongqing Normal University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

17 Citations (Scopus)

Abstract

In this paper using topological degree we study the existence of nontrivial solutions for a fractional differential equation involving integral boundary conditions. Here, the nonlinear term may be sign-changing and may also depend on the derivatives of the unknown function.

Original language	English (Ireland)
Article number	104
Journal	Journal Of Inequalities And Applications
Volume	2019
DOIs	https://doi.org/10.1186/s13660-019-2058-y
Publication status	Published - 1 Apr 2019

Keywords

Fractional integral boundary value problems
Nontrivial solutions
Topological degree

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Fu, ZQ,Bai, SK,O'Regan, D,Xu, JF

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10.1186/s13660-019-2058-y

Cite this

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abstract = "In this paper using topological degree we study the existence of nontrivial solutions for a fractional differential equation involving integral boundary conditions. Here, the nonlinear term may be sign-changing and may also depend on the derivatives of the unknown function.",

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N2 - In this paper using topological degree we study the existence of nontrivial solutions for a fractional differential equation involving integral boundary conditions. Here, the nonlinear term may be sign-changing and may also depend on the derivatives of the unknown function.

AB - In this paper using topological degree we study the existence of nontrivial solutions for a fractional differential equation involving integral boundary conditions. Here, the nonlinear term may be sign-changing and may also depend on the derivatives of the unknown function.

KW - Fractional integral boundary value problems

KW - Nontrivial solutions

KW - Topological degree

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VL - 2019

JO - Journal Of Inequalities And Applications

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Nontrivial solutions for an integral boundary value problem involving Riemann-Liouville fractional derivatives

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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