On Existence and Uniqueness of Fractional Linear Integro Partial Differential Equation with Evolution Kernel Using Modified Bielecki Method and its Numerical Solution
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 πΆπΈ(πΈ × [0, π]). Therefore, we estimate the error in different cases of πΌ.
Abdou, M., Soliman, A., Abdalla, M., Gawish, F., & Mosa, G. (2020). On Existence and Uniqueness of Fractional Linear Integro Partial Differential Equation with Evolution Kernel Using Modified Bielecki Method and its Numerical Solution. Benha Journal of Applied Sciences, 5(Issue 7 part (1) - (2)), 175-181. doi: 10.21608/bjas.2020.226976
MLA
M.A. Abdou; A.A. Soliman; M.H. Abdalla; F.A. Gawish; G.A. Mosa. "On Existence and Uniqueness of Fractional Linear Integro Partial Differential Equation with Evolution Kernel Using Modified Bielecki Method and its Numerical Solution", Benha Journal of Applied Sciences, 5, Issue 7 part (1) - (2), 2020, 175-181. doi: 10.21608/bjas.2020.226976
HARVARD
Abdou, M., Soliman, A., Abdalla, M., Gawish, F., Mosa, G. (2020). 'On Existence and Uniqueness of Fractional Linear Integro Partial Differential Equation with Evolution Kernel Using Modified Bielecki Method and its Numerical Solution', Benha Journal of Applied Sciences, 5(Issue 7 part (1) - (2)), pp. 175-181. doi: 10.21608/bjas.2020.226976
VANCOUVER
Abdou, M., Soliman, A., Abdalla, M., Gawish, F., Mosa, G. On Existence and Uniqueness of Fractional Linear Integro Partial Differential Equation with Evolution Kernel Using Modified Bielecki Method and its Numerical Solution. Benha Journal of Applied Sciences, 2020; 5(Issue 7 part (1) - (2)): 175-181. doi: 10.21608/bjas.2020.226976
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