Year: 2022
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 1 : pp. 114–128
Abstract
In this paper, we apply some fixed point theorems to attain the existence of solutions for fractional differential equations with the space-time Riesz-Caputo derivative. We study the boundary value problems that the nonlinearity term $f$ is relevant to fractional integral and fractional derivative. In addition, the boundary conditions involve integral. Two examples are given to show the effectiveness of theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2022.114
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 1 : pp. 114–128
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Fractional differential equation Riesz-Caputo derivative Fixed point theorem.