Existence of Solutions for a Coupled Fractional Differential Equations with Infinitely Many Points Boundary Conditions at Resonance on an Unbounded Domain

Fu Dong Ge; Hua Cheng Zhou; Chun Hai Kou

doi:10.1007/s12591-015-0270-x

Existence of Solutions for a Coupled Fractional Differential Equations with Infinitely Many Points Boundary Conditions at Resonance on an Unbounded Domain

Fu Dong Ge, Hua Cheng Zhou^*, Chun Hai Kou

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

This paper investigates the existence of solutions for infinitely many points boundary value problems at resonance with dimkerL=2 regarding fractional differential equations on an unbounded domain. By the well-known coincidence degree theory of Mawhin, it is shown that the considered system under certainly conditions admits at least one solution. An example to illustrate the applicability of the given conditions is also given.

Original language	English
Pages (from-to)	395-411
Number of pages	17
Journal	Differential Equations and Dynamical Systems
Volume	27
Issue number	4
DOIs	https://doi.org/10.1007/s12591-015-0270-x
State	Published - 1 Oct 2019
Externally published	Yes

Keywords

Coincidence degree theory
Fractional differential equations
Infinitely many points
Resonance
Unbounded domain

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10.1007/s12591-015-0270-x

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abstract = "This paper investigates the existence of solutions for infinitely many points boundary value problems at resonance with dimkerL=2 regarding fractional differential equations on an unbounded domain. By the well-known coincidence degree theory of Mawhin, it is shown that the considered system under certainly conditions admits at least one solution. An example to illustrate the applicability of the given conditions is also given.",

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AB - This paper investigates the existence of solutions for infinitely many points boundary value problems at resonance with dimkerL=2 regarding fractional differential equations on an unbounded domain. By the well-known coincidence degree theory of Mawhin, it is shown that the considered system under certainly conditions admits at least one solution. An example to illustrate the applicability of the given conditions is also given.

KW - Coincidence degree theory

KW - Fractional differential equations

KW - Infinitely many points

KW - Resonance

KW - Unbounded domain

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Existence of Solutions for a Coupled Fractional Differential Equations with Infinitely Many Points Boundary Conditions at Resonance on an Unbounded Domain

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Keywords

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