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A new sequential proportional fractional derivative of hybrid di?erential equations with nonlocal hybrid condition

Cilt: 7 Sayı: 1 31 Mart 2023
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A new sequential proportional fractional derivative of hybrid di?erential equations with nonlocal hybrid condition

Abstract

In this paper, we study the existence of solutions for a new problem of hybrid differential equations with nonlocal integro multi point boundary conditions by using the proportional fractional derivative. The presented results are obtained by using hybrid fixed point theorems for three Dhage operators. The application of theoretical conclusions is demonstrated through an example.

Keywords

Kaynakça

  1. [1] M.I. Abbas, M.A. Ragusa, On the Hybrid fractional differential equations with fractional proportional derivatives of a function with respect to a certain function. Symmetry 2021, 13, 264. https://doi.org/10.3390/sym13020264
  2. [2] M.I. Abbas, Existence results and the Ulam stability for fractional differential equations with hybrid proportional-Caputo derivatives. J. Nonlinear Funct. Anal. 2020, 2020, 1-14.
  3. [3] S. Abbas, M. Benchohra, J.R. Graef and J. Henderson, Implicit differential and integral equations: existence and stability, Walter de Gruyter, London, 2018.
  4. [4] S. Abbas, M. Benchohra and G. M. N'Guérékata, Advanced fractional differential and integral equations, Nova Science Publishers, New York, 2014.
  5. [5] S. Abbas, M. Benchohra and G. M. N'Guérékata, Topics in fractional differential equations, Springer-Verlag, New York, 2012.
  6. [6] R. S. Adiguzel, U. Aksoy, E. Karapinar, I.M. Erhan, On the solutions of fractional differential equations via geraghty type hybrid contractions, Appl. Comput. Math., V.20, N.2, 2021,313-333.
  7. [7] H. Afshari and E. Karapinar, A solution of the fractional differential equations in the setting of b-metric space. Carpathian Math. Publ. 13 (2021), 764-774. https://doi.org/10.15330/cmp.13.3.764-774.
  8. [8] H. Afshari, E. Karapinar, A discussion on the existence of positive solutions of the boundary value problems via ψ-Hilfer fractional derivative on b-metric spaces, Adv. Di?erence Equ. 2020, 616. https://doi.org/10.1186/s13662-020-03076-z.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Mart 2023

Gönderilme Tarihi

26 Mayıs 2022

Kabul Tarihi

20 Aralık 2022

Yayımlandığı Sayı

Yıl 2023 Cilt: 7 Sayı: 1

Kaynak Göster