EXISTENCE RESULTS FOR MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS INVOLVING ATANGANA-BALEANU DERIVATIVE
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, the existence results for the solutions of the multi-term ABC-fractional differential boundary value problem (BVP) (delta(2)0(ABC)D(alpha+2) + delta( 1)0(ABC)D(alpha+1) + delta (0)0(ABC)D(alpha))x(t) = zeta(t,x(t))of order 0 < alpha < 1 with nonlocal boundary conditions have been derived by using Krasnoselskii's fixed point theorem. The uniqueness of the solution is obtained with the help of Banach contraction principle. Examples are provided to confirm our obtained results.
Açıklama
Anahtar Kelimeler
ABC-Fractional BVP, Existence, Uniqueness, Krasnoselskii's Fixed Point Theorem, Banach Contraction Principle
Kaynak
Fractals-Complex Geometry Patterns and Scaling in Nature and Society
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
31
Sayı
2
