The Uniqueness of Solutions of Fractional Differential Equations in University Mathematics Teaching Based on the Principle of Compression Mapping

Artigo2022

Dong Zhang ORCID; Yang Li ORCID; Ahmed Mohamed Hamad Arbab ORCID

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Resumo

Abstract This paper uses the principle of compressed mapping to discuss the existence and uniqueness of the explicit finite difference method for the fractional diffusion equation with time delay. The Laplace transform method obtains the necessary expression form of the solution. At the same time, the existence theorem and the existence and uniqueness theorem of the solution to the boundary value problem is established. Finally, an example is given to verify the correctness of the conclusion. The experimental results show that the parallel algorithm proposed in this paper agrees with the exact solution.

Dados da obra

Tipo
Artigo
Periódico
Applied Mathematics and Nonlinear Sciences, v. 8, n. 1, p. 331-338
Editora
De Gruyter
Ano
2022 (2022-07-28)
Idioma
en
Palavras-chave
fractional differential equations; uniqueness of solutions; contractive mappings; fractional diffusion equation; time delay; finite difference method; Laplace transform; boundary value problems; existence theorems; parallel algorithms
Temas
Álgebra
DOI
10.2478/amns.2022.2.00014
ISSN
2444-8656
Licença
cc-by
Acesso
Acesso aberto
Fontes
OpenAlex
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
ZHANG, Dong; LI, Yang; ARBAB, Ahmed Mohamed Hamad. The Uniqueness of Solutions of Fractional Differential Equations in University Mathematics Teaching Based on the Principle of Compression Mapping. Applied Mathematics and Nonlinear Sciences, v. 8, n. 1, p. 331-338, 2022. DOI: https://doi.org/10.2478/amns.2022.2.00014.

APA

Zhang, D., Li, Y., & Arbab, A. M. H. (2022). The Uniqueness of Solutions of Fractional Differential Equations in University Mathematics Teaching Based on the Principle of Compression Mapping. Applied Mathematics and Nonlinear Sciences, 8(1), 331-338. https://doi.org/10.2478/amns.2022.2.00014

BibTeX
@article{zhang2022,
  author = {Zhang, Dong and Li, Yang and Arbab, Ahmed Mohamed Hamad},
  title = {The Uniqueness of Solutions of Fractional Differential Equations in University Mathematics Teaching Based on the Principle of Compression Mapping},
  year = {2022},
  journal = {Applied Mathematics and Nonlinear Sciences},
  volume = {8},
  number = {1},
  pages = {331-338},
  publisher = {De Gruyter},
  doi = {10.2478/amns.2022.2.00014},
  language = {en}
}
RIS
TY  - JOUR
AU  - Zhang, Dong
AU  - Li, Yang
AU  - Arbab, Ahmed Mohamed Hamad
TI  - The Uniqueness of Solutions of Fractional Differential Equations in University Mathematics Teaching Based on the Principle of Compression Mapping
PY  - 2022
JO  - Applied Mathematics and Nonlinear Sciences
VL  - 8
IS  - 1
SP  - 331
EP  - 338
DO  - 10.2478/amns.2022.2.00014
LA  - en
ER  - 

Referência gerada automaticamente a partir dos metadados das fontes; confira com o documento original. Baixar BibTeX · Baixar RIS

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