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Zhang, Wei; Ni, Jinbo

New multiple positive solutions for Hadamard-type fractional differential equations with nonlocal conditions on an infinite interval. (English) Zbl 1483.34044

Appl. Math. Lett. 118, Article ID 107165, 10 p. (2021).
In this paper, the authors consider nonlinear Hadamard-type fractional differential equations with nonlocal boundary conditions on an infinite interval. The existence of multiple positive solutions of the addressed problem is obtained by applying the generalized Avery-Henderson fixed point theorem. Finally, an example was given to show the effectiveness of the main result. This paper provides a new fixed point theorem to study multiple solutions.
Reviewer: Wengui Yang (Sanmenxia)

Cited in 10 Documents

MSC:

34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
34A08 Fractional ordinary differential equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34B40 Boundary value problems on infinite intervals for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations

Keywords:

fractional differential equation; nonlocal boundary condition; infinite interval; positive solution; generalized Avery-Henderson fixed point theorem

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References:

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