Positive solutions for fractional iterative functional differential equation with a convection term

Qingcong Song; Xinan Hao; Qingcong Song; Xinan Hao

doi:10.3934/era.2023096

Electronic Research Archive

2023, Volume 31, Issue 4: 1863-1875. doi: 10.3934/era.2023096

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Positive solutions for fractional iterative functional differential equation with a convection term

Qingcong Song ,
Xinan Hao ^,

School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China

Received: 17 November 2022 Revised: 31 January 2023 Accepted: 02 February 2023 Published: 09 February 2023

In this paper, we deal with the fractional iterative functional differential equation nonlocal boundary value problem with a convection term. By using the fixed point theorems, some results about existence, uniqueness, continuous dependence and multiplicity of positive solutions are derived.
- fractional iterative functional differential equation,
- convection term,
- integral boundary condition,
- positive solution,
- fixed point theorems
Citation: Qingcong Song, Xinan Hao. Positive solutions for fractional iterative functional differential equation with a convection term[J]. Electronic Research Archive, 2023, 31(4): 1863-1875. doi: 10.3934/era.2023096

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Abstract

In this paper, we deal with the fractional iterative functional differential equation nonlocal boundary value problem with a convection term. By using the fixed point theorems, some results about existence, uniqueness, continuous dependence and multiplicity of positive solutions are derived.

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