Geodesic
On solution of non-instantaneous impulsive Hilfer fractional integro-differential evolution system
Mathematica Applicanda, Tome 51 (2023) no. 1, pp. 33-50.

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In this article, we have considered the non-instantaneous fractional integrodifferential evolution system with Hilfer fractional differential operator in the Banach space and discussed its existence results for the mild solution for the equation with local and non-local conditions. These results are obtained by applying the method of a C0 operator generated by the linear part of the equation combined with the concept of nonlinear functional analysis and the fixed point theorems. We have discussed the examples to highlight the applicability of the results
DOI : 10.14708/ma.v51i1.7167
Classification : 34A08, 47H10, 47H20
Mots-clés : Factional Evolution Equation, Hilfer fractional differential operator, Operator Semigroup, Non-instantaneous Impulses, Fixed Point Theorem 
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Gargi J. Trivedi; Vishant Shah; Jaita Sharma; Rajesh Sanghvi. On solution of non-instantaneous impulsive Hilfer fractional integro-differential evolution system. Mathematica Applicanda, Tome 51 (2023) no. 1, pp.  33-50. doi : 10.14708/ma.v51i1.7167. http://geodesic.mathdoc.fr/articles/10.14708/ma.v51i1.7167/

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