"Generalized Riemann-Liouville Fractional Operators Associated with a G" by Gustavo A. Dorrego

Progress in Fractional Differentiation & Applications

Article Title

Generalized Riemann-Liouville Fractional Operators Associated with a Generalization of the Prabhakar Integral Operator

Authors

Gustavo A. Dorrego, Department of Mathematics, Faculty of Exacts Sciences, Northeast National University, Av. Libertad 5460, Corrientes, ArgentinaFollow

Author Country (or Countries)

Argentina

Abstract

The paper introduces a new integral operator which generalizes the Prabhakar integral operator. The boundedness on the space of continuous functions and on the space of Lebesgue integrable functions on an interval is studied. In addition, the left inverse operator is constructed. The properties of composition with the k-Riemann-Liouville fractional operators are analized. Finally, as an application, a fractional generalization of the Cauchy problem associated with free electron laser equation is proposed.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/020206

Recommended Citation

A. Dorrego, Gustavo (2016) "Generalized Riemann-Liouville Fractional Operators Associated with a Generalization of the Prabhakar Integral Operator," Progress in Fractional Differentiation & Applications: Vol. 2: Iss. 2, Article 6.
DOI: http://dx.doi.org/10.18576/pfda/020206
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol2/iss2/6

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