The existence of a unique solution and stability results with numerical solutions for the fractional hybrid integro-differential equations with Dirichlet boundary conditions
Yükleniyor...
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Science and Business Media Deutschland GmbH
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we investigate the fractional hybrid integro-differential equations with Dirichlet boundary conditions. We first prove the existence of a unique solution for the equation using a fixed point technique. Our main goal is to obtain the best approximation using optimal controllers. After studying the stability, we present the reproducing kernel Hilbert space numerical method to obtain approximate solutions to the equation. We finally conclude with numerical results. © The Author(s) 2024.
Açıklama
Anahtar Kelimeler
34A08, 35Q92, 35R11, 46E22, 92C32, Existence of a unique solution, Fractional hybrid integro-differential equations, Optimal control function, Reproducing kernel Hilbert space method, Stability
Kaynak
Boundary Value Problems
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
2024
Sayı
1
Künye
Eidinejad, Z., Saadati, R., Vahidi, J., Li, C., & Allahviranloo, T. (2024). The existence of a unique solution and stability results with numerical solutions for the fractional hybrid integro-differential equations with Dirichlet boundary conditions. Boundary Value Problems, 2024(1), 120.
