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On Discussion of Fractional Linear Integro Partial Differential Equation with Evolution Kernel Using Modified Bielecki Method and its Numerical Solution
Conference: 2nd Scientific Conference of Faculty of Science, Benha University "APPLIED SCIENCE AND SUSTAINABLE DEVELOPMENT" • 2020
Publication Information
Authors
M. A. Abdou; A. A. Soliman; M. H. Abdalla; G. A. Mosa; F. A. Gawish
Keywords
: Fractional linear integro partial differential equation (FLIPDE), Caputo derivative, Riemann integral, Modified Bielecki method, Laplace homotopy perturbation method (LHPM).
Journal
Conference: 2nd Scientific Conference of Faculty of Science, Benha University "APPLIED SCIENCE AND SUSTAINABLE DEVELOPMENT"
Publisher
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Volume
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Issue
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Pages
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publication.type
Local
Paper Link
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Supplementary Materials
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Abstract
The devote of this paper is discussing the existence and uniqueness of fractional linear integro partial differential equation with evolution kernel of heat type due to modified Bielecki method. In addition, Laplace homotopy perturbation method is used to obtain the numerical solutions in the space C_E (E×[0,T]). Therefore, we estimate the error in different cases of α.