Conditions to guarantee the existence of solutions for a nonlinear and implicit integro-differential equation with variable coefficients
Yükleniyor...
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
WILEY
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Using Babenko's approach, multivariate Mittag-Leffler (MM-L) function, and Krasnoselskii's fixed point theorem, we first investigate the existence of solutions to a Liouville-Caputo nonlinear integro-differential equation with variable coefficients and initial conditions in a Banach space. Then the existence of a positive solution for a variant equation is studied. Finally, we provide examples to illustrate the applications of the main results obtained.
Açıklama
Anahtar Kelimeler
Babenko's Approach, Krasnoselskii's Fixed Point Theorem, MM-L Function
Kaynak
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
Sayı
Künye
Li, C., Saadati, R., & Allahviranloo, T. Conditions to guarantee the existence of solutions for a nonlinear and implicit integro‐differential equation with variable coefficients. Mathematical Methods in the Applied Sciences.
