Complete Solution For The Time Fractional Diffusion Problem With Mixed Boundary Conditions by Operational Method

• Published in: Applied mathematics and nonlinear sciences Vol. 6; no. 1; pp. 9 - 20
• Main Author: Aghili, A.
• Format: Journal Article
• Language: English
• Published: Beirut Sciendo 01.01.2021; De Gruyter Poland
• Subjects: 26A33; 44A10; 44A15; 44A35; Caputo fractional derivative; Fourier series; Hankel transform; Integral transform method; Laplace transform; Modified Bessel’s functions; Newmann function; P- N junctions

In this study, we present some new results for the time fractional mixed boundary value problems. We consider a generalization of the Heat - conduction problem in two dimensions that arises during the manufacturing of p - n junctions. Constructive examples are also provided throughout the paper. The...