Existence and Uniqueness Theorem of Some Fuzzy Fractional Order Differential Equation”
The main objective of thesis is oriented toward two objectives.
English
College of Science
SOLUTION OF CAUCHY TYPE PROBLEM OF PARTIAL FRACTIONAL ORDER DIFFERENTIAL EQUATIONS
In this work, we obtain an analytical solution for Cauchy type problem of partial fractional order differential equation in terms of Mittage – Leffler function using Laplace transformation. The existence and uniqueness of the analytical solution also, is reviewed by reducing the Cauchy type problem of partial fractional order differential equation into linear Volterra integral equation of the second kind and showing that the solution of our Cauchy type problem is equivalent to the solution of linear Volterra integral equation of the second kind.
English
Some Finite Difference Methods for Solving Fractional Differential Equations
The main purpose of this work is to study the numerical solutions for special types of the fractional differential equations via the finite difference methods with their stability. This study includes the following aspects:
English