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

Abstract

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 main purpose of this article is to present mathematical results that are useful to researchers in a variety of fields.

Keywords

• integral transform method
• laplace transform
• caputo fractional derivative
• newmann function
• modified bessel’s functions
• hankel transform
• fourier series
• p- n junctions
• 26a33
• 44a10
• 44a15
• 44a35