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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
العودة
معلومات البحث
المؤلفون M. A. Abdou; A. A. Soliman; M. H. Abdalla; G. A. Mosa; F. A. Gawish
الكلمات المفتاحية : Fractional linear integro partial differential equation (FLIPDE), Caputo derivative, Riemann integral, Modified Bielecki method, Laplace homotopy perturbation method (LHPM).
المجلة العلمية Conference: 2nd Scientific Conference of Faculty of Science, Benha University "APPLIED SCIENCE AND SUSTAINABLE DEVELOPMENT"
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الصفحات Not Available
publication.type Local
رابط البحث Not Available
المواد المرفقة Not Available
الملخص
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.