On Riemann-Type Weighted Fractional Operators and Solutions to Cauchy Problems

نویسندگان

چکیده

In this paper, we establish the new forms of Riemann-type fractional integral and derivative operators. The novel operator is proved to be bounded in Lebesgue space some classical differential operators are obtained as special cases. properties like semi-group, inverse certain others discussed its weighted Laplace transform evaluated. Fractional integro-differential free-electron laser (FEL) kinetic equations established. solutions these by using modified transform. Cauchy problem a growth model designed applications along with graphical representation. Finally, conclusion section indicates future directions readers.

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ژورنال

عنوان ژورنال: Cmes-computer Modeling in Engineering & Sciences

سال: 2023

ISSN: ['1526-1492', '1526-1506']

DOI: https://doi.org/10.32604/cmes.2023.024029