Exact Solution of Non-Homogeneous Fractional Differential System Containing 2n Periodic Terms under Physical Conditions

Autor:	Laila F. Seddek, Abdelhalim Ebaid, Essam R. El-Zahar, Mona D. Aljoufi
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Riemann–Liouville fractional derivative fractional differential equations harmonic oscillator exact solution Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 15, p 3308 (2023)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math11153308
Popis:	This paper solves a generalized class of first-order fractional ordinary differential equations (1st-order FODEs) by means of Riemann–Liouville fractional derivative (RLFD). The principal incentive of this paper is to generalize some existing results in the literature. An effective approach is applied to solve non-homogeneous fractional differential systems containing 2n periodic terms. The exact solutions are determined explicitly in a straightforward manner. The solutions are expressed in terms of entire functions with fractional order arguments. Features of the current solutions are discussed and analyzed. In addition, the existing solutions in the literature are recovered as special cases of our results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/4bfc93492cdb438cbde6cdce23baac94 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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