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
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
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
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
On Existence and Uniqueness of Fractional Linear Integro Partial Differential Equation with Evolution Kernel Using Modified Bielecki Method and its Numerical Solution
1Mathematics Dept., Faculty of Education, Alexandria Univ., Benha, Egypt
2Mathematics Dept., Faculty of Science, Benha Univ., Benha, Egypt
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 πΆπΈ(πΈ × [0, π]). Therefore, we estimate the error in different cases of πΌ.