Boundary Value Problems of Nonlinear Mixed-Type Fractional Differential Equations | Zendy

Ping Yu | Zendy; Hongju Li | Zendy; Jian Ding | Zendy; Yanli Ma | Zendy

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Boundary Value Problems of Nonlinear Mixed-Type Fractional Differential Equations

Author(s) -

Ping Yu,

Hongju Li,

Jian Ding,

Yanli Ma

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6692592

Subject(s) - mathematics , fixed point theorem , monotone polygon , boundary value problem , cone (formal languages) , nonlinear system , mathematical analysis , picard–lindelöf theorem , type (biology) , fixed point , differential equation , geometry , ecology , physics , algorithm , quantum mechanics , biology

In this paper, by means of a fixed point theorem for monotone decreasing operators on a cone, we discuss the existence of positive solutions for boundary value problems of nonlinear fractional singular differential equation. The proof of the main result is based on Gatica–Oliker–Waltman fixed-point theorem. At last, an example is given to illustrate our main conclusion.

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