Geodesic
Existence of solutions of generalized fractional differential equation with nonlocal initial condition
Mathematica Bohemica, Tome 144 (2019) no. 2, pp. 203-220.

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This paper is devoted to studying the existence of solutions of a nonlocal initial value problem involving generalized Katugampola fractional derivative. By using fixed point theorems, the results are obtained in weighted space of continuous functions. Illustrative examples are also given.
DOI : 10.21136/MB.2018.0135-17
Classification : 26A33, 34A08, 34A12, 47H10
Keywords: fractional derivative; fractional integral; existence of solution; fractional differential equation; fixed point theorem 
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Bhairat, Sandeep P.; Dhaigude, Dnyanoba-Bhaurao. Existence of solutions of generalized fractional differential equation with nonlocal initial condition. Mathematica Bohemica, Tome 144 (2019) no. 2, pp. 203-220. doi : 10.21136/MB.2018.0135-17. http://geodesic.mathdoc.fr/articles/10.21136/MB.2018.0135-17/

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