A Singular Tempered Sub-Diffusion Fractional Equation with Changing-Sign Perturbation

Autor:	Xinguang Zhang, Jingsong Chen, Lishuang Li, Yonghong Wu
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	singular perturbation tempered changing-sign fractional equation Carathéodory conditions sub-diffusion Mathematics QA1-939
Zdroj:	Axioms, Vol 13, Iss 4, p 264 (2024)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms13040264
Popis:	In this paper, we establish some new results on the existence of positive solutions for a singular tempered sub-diffusion fractional equation involving a changing-sign perturbation and a lower-order sub-diffusion term of the unknown function. By employing multiple transformations, we transform the changing-sign singular perturbation problem to a positive problem, then establish some sufficient conditions for the existence of positive solutions of the problem. The asymptotic properties of solutions are also derived. In deriving the results, we only require that the singular perturbation term satisfies the Carathéodory condition, which means that the disturbance influence is significant and may even achieve negative infinity near some time singular points.
Databáze:	Directory of Open Access Journals
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