Katugampola Fractional Differential Equation with Erdelyi-Kober Integral Boundary Conditions
نویسندگان
چکیده
In this paper, we study the existence and uniqueness of solutions for nonlinear fractional Katugampola differential equation with Erdely-Kober integral conditions, new results are established using Banach's contraction principle, contractions, Krasnoselskii's Leray-Schauder's fixed theorems. Four examples given in order to clarify theoretical results.
منابع مشابه
Fractional-order boundary value problems with Katugampola fractional integral conditions
*Correspondence: [email protected] Department of Mathematics, Eastern Mediterranean University, Gazimagusa, Turkish Republic of Northern Cyprus Abstract In this paper, we study existence (uniqueness) of solutions for nonlinear fractional differential equations with Katugampola fractional integral conditions. Several fixed point theorems are used for sufficient conditions of existence (u...
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ژورنال
عنوان ژورنال: Advances in the theory of nonlinear analysis and its applications
سال: 2021
ISSN: ['2587-2648']
DOI: https://doi.org/10.31197/atnaa.711191