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1. EXISTENCE OF MILD SOLUTIONS FOR SEMILINEAR EVOLUTION EQUATION USING HILFER FRACTIONAL DERIVATIVES.

Author

ROY, BANDITA and NANDAN BORA, SWAROOP

Subjects
FRACTIONAL calculus, MATHEMATICS theorems, EQUATIONS, MATHEMATICS, SEMILINEAR elliptic equations
Abstract

In this article, we discuss the existence of solutions of a class of Cauchy-type fractional semilinear evolution equation involving Hilfer fractional derivative. A nonlocal Cauchy problem is also discussed for evolution equations. The results are obtained by using various results of fractional calculus and fixed point theorems in the weighted space of continuous functions. Examples are presented to illustrate the derived theory. [ABSTRACT FROM AUTHOR]

Published
2022
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