Existence and stability of a nonlinear fractional differential equation involving a ψψ\psi-Caputo operator

Hanan A. WAHASH; Mohammed ABDO; Satish K. PANCHAL

doi:https://doi.org/10.31197/atnaa.664534

Makale detayları

Existence and stability of a nonlinear fractional differential equation involving a ψψ\psi-Caputo operator

Yazarlar:

Hanan A. WAHASH | Mohammed ABDO | Satish K. PANCHAL

Yayıncı:

Erdal KARAPINAR

Ana Başlıklar:

Matematik

Dergi:

Advances in the Theory of Nonlinear Analysis and its Application 2020 Vol.4 Issue 4, pp.266-278

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000841964

Sıklık:

Üç Aylık

eISSN:

2587-2648

DOI:

https://doi.org/10.31197/atnaa.664534

Özet:

 

This paper is devoted to the study of the existence and interval of existence, uniqueness of solutions and estimates on solutions of the nonlocal Cauchy problem for nonlinear fractional differential equations involving a Caputo type fractional derivative with respect to another function ψψ\psi. Further, we prove four different types of Ulam stability results of solutions for a given problem. The tools used in this article are the classical technique of Banach fixed point theorem and generalized Gronwall inequality. At the end, illustrative examples are presented.

Makale detayları

Existence and stability of a nonlinear fractional differential equation involving a ψψ\psi-Caputo operator

Yazarlar: Hanan A. WAHASH | Mohammed ABDO | Satish K. PANCHAL

Yayıncı: Erdal KARAPINAR

Ana Başlıklar: Matematik

Dergi: Advances in the Theory of Nonlinear Analysis and its Application 2020 Vol.4 Issue 4, pp.266-278

Belge Tipi: Makale

Yayın Tarihi: 12/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000841964

Sıklık: Üç Aylık

eISSN: 2587-2648

DOI: https://doi.org/10.31197/atnaa.664534

Sayı

Yazarlar:

Hanan A. WAHASH | Mohammed ABDO | Satish K. PANCHAL

Yayıncı:

Erdal KARAPINAR

Ana Başlıklar:

Matematik

Dergi:

Advances in the Theory of Nonlinear Analysis and its Application 2020 Vol.4 Issue 4, pp.266-278

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000841964

Sıklık:

Üç Aylık

eISSN:

2587-2648

DOI:

https://doi.org/10.31197/atnaa.664534