On the Uniqueness of the Bounded Solution for the Fractional Nonlinear Partial Integro-Differential Equation with Approximations

This paper studies the uniqueness of the bounded solution to a new Cauchy problem of the fractional nonlinear partial integro-differential equation based on the multivariate Mittag–Leffler function as well as Banach’s contractive principle in a complete function space. Applying Babenko’s approach, w...

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Vydané v:	Mathematics (Basel) Ročník 11; číslo 12; s. 2752
Hlavní autori:	Li, Chenkuan, Saadati, Reza, Beaudin, Joshua, Hrytsenko, Andrii
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Basel MDPI AG 01.06.2023
Predmet:	adomian’s decomposition method Algorithms analytic and approximate solution babenko’s approach Banach spaces banach’s contractive principle Cauchy problems Decomposition Differential equations Function space Integral equations Mathematics multivariate Mittag–Leffler function Nonlinear equations Partial differential equations Uniqueness
ISSN:	2227-7390, 2227-7390
On-line prístup:	Získať plný text
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