EXISTENCE RESULTS FOR ABC-FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-SEPARATED AND INTEGRAL TYPE OF BOUNDARY CONDITIONS
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Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This paper presents a study on the existence theory of fractional differential equations involving Atangana-Baleanu (AB) derivative of order 1 < alpha <= 2, with non-separated and integral type boundary conditions. An existence result for the solutions of given AB-fractional differential equation is proved using Krasnoselskii's fixed point theorem, while the uniqueness of the solution is obtained using Banach contraction principle. Some conditions are proposed under which the given boundary value problem is Hyers-Ulam stable. Examples are given to validate our results.
Açıklama
Anahtar Kelimeler
ABC-Derivative, Higher Order AB Integral, Boundary Value Problem, Integral Boundary Conditions, Existence and Uniqueness, Krasnoselskiia's Fixed Point Theorem, Banach Fixed Point Theorem
Kaynak
Fractals-Complex Geometry Patterns and Scaling in Nature and Society
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
29
Sayı
5
