NEW CLASS OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH FRACTAL-FRACTIONAL OPERATORS: EXISTENCE, UNIQUENESS AND NUMERICAL SCHEME
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Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we introduce a new fractional integro-differential equation involving newly introduced differential and integral operators socalled fractal-fractional derivatives and integrals. We present a numerical scheme that is convenient for obtaining solution of such equations. We give the general conditions for the existence and uniqueness of the solution of the considered equation using Banach fixed-point theorem. Both the suggested new equation and new numerical scheme will considerably contribute for our readers in theory and applications.
Açıklama
Anahtar Kelimeler
Key words and phrases, Fractal-fractional derivative, Fractal-fractional integral, fractional integro-differential equation, new numerical scheme
Kaynak
Discrete and Continuous Dynamical Systems-Series S
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
14
Sayı
7
