Journal of Mathematical Analysis and Modeling

Journal of Mathematical Analysis and Modeling

Analysis of implicit type of a generalized fractional differential equations with nonlinear integral boundary conditions

Yazarlar: Saleh Redhwan, Sadikali Shaikh

Cilt 1 , Sayı 1 , 2020 , Sayfalar 64-76

Konular:-

DOI:10.48185/jmam.v1i1.14

Anahtar Kelimeler:Implicit fractional differential equation ,Fractional derivative and fractional integral ,Fixed point theorem.

Özet: The given paper describes the implicit fractional differential equation with nonlinear integral boundary conditions in the frame of Caputo-Katugampola fractional derivative. We obtain an analogous integral equation of the given problem and prove the existence and uniqueness results of such a problem using the Banach and Krasnoselskii fixed point theorems. To show the effectiveness of the acquired results, convenient examples are presented.


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BibTex
KOPYALA
@article{2020, title={Analysis of implicit type of a generalized fractional differential equations with nonlinear integral boundary conditions}, volume={1}, number={64–76}, publisher={Journal of Mathematical Analysis and Modeling}, author={Saleh Redhwan,Sadikali Shaikh}, year={2020} }
APA
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Saleh Redhwan,Sadikali Shaikh. (2020). Analysis of implicit type of a generalized fractional differential equations with nonlinear integral boundary conditions (Vol. 1). Vol. 1. Journal of Mathematical Analysis and Modeling.
MLA
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Saleh Redhwan,Sadikali Shaikh. Analysis of Implicit Type of a Generalized Fractional Differential Equations with Nonlinear Integral Boundary Conditions. no. 64–76, Journal of Mathematical Analysis and Modeling, 2020.