Uniqueness of solutions, stability and simulations for a differential problem involving convergent series and time variable singularities
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Rocky Mt Math Consortium
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We study a new problem of nonlinear integrodifferential equations with nonlocal integral conditions. The considered problem is singular at the origin of the time axis and it involves convergent series combined with Riemann-Liouville integrals. We prove an existence and uniqueness result for our problem. Some examples are given to illustrate the uniqueness result. The Ulam-Hyers stability for the problem is also studied. Then, thanks to some numerical techniques, that allow us to approximate the Caputo derivatives, and by using the Runge-Kutta method, we present a numerical study with some simulations to show more comprehension of the proposed examples.
Açıklama
Anahtar Kelimeler
Caputo derivative, fixed point, Runge-Kutta method, Ulam-Hyers stability, singular differential equation, Equations
Kaynak
Rocky Mountain Journal of Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
53
Sayı
4
