Generalized Riemann-Liouville Fractional Operators Associated with a Generalization of the Prabhakar Integral Operator
| Autor: | Gustavo Abel Dorrego |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
Generalization Matemáticas Applied Mathematics Mathematical analysis K-MITTAG-LEFFLER FUNCTION Operator theory Riemann liouville Oscillatory integral operator Riemann- Liouville fractional derivative Fourier integral operator Fractional calculus Matemática Pura K-GAMMA FUNCTION Operator (computer programming) RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE RIEMANN-LIOVILLE FRACTIONAL INTEGRAL FRACTIONAL INTEGRAL OPERATOR Analysis Computer Science::Distributed Parallel and Cluster Computing CIENCIAS NATURALES Y EXACTAS Mathematics |
| Zdroj: | Progress in Fractional Differentiation and Applications An International Journal, vol. 2, no. 2, p. 131-140 Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) Universidad Nacional del Nordeste instacron:UNNE |
| Popis: | Fil: Dorrego, Gustavo Abel. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Matemática; Argentina. Fil: Dorrego, Gustavo Abel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Nordeste; Argentina. 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. |
| Databáze: | OpenAIRE |
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