A unified integral operator and further its consequences

Farid, Ghulam (2020) A unified integral operator and further its consequences. Open Journal of Mathematical Analysis, 4 (1). pp. 1-7. ISSN 26168103

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Abstract

The aim of this paper is to construct left sided and right sided integral operators in a unified form. These integral operators produce various well known integral operators in the theory of fractional calculus. Formulated integral operators of this study include generalized fractional integral operators of Riemann-Liouville type and operators containing Mittag-Leffler functions in their kernels. Also boundedness of all these fractional integral operators is derived from the boundedness of unified integral operators. The existence of new integral operators may have useful consequences in applied sciences besides in fractional calculus.

Item Type: Article
Subjects: STM Academic > Mathematical Science
Depositing User: Unnamed user with email support@stmacademic.com
Date Deposited: 10 Feb 2023 12:11
Last Modified: 18 Jan 2024 11:53
URI: http://article.researchpromo.com/id/eprint/144

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