Bahram Agheli

Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

[ 1 ] - Existence and uniqueness of positive and nondecreasing solution for nonlocal fractional boundary value problem

In this article, we verify existence and uniqueness of positive and nondecreasing solution for nonlinear boundary value problem of fractional differential equation in the form $D_{0^{+}}^{alpha}x(t)+f(t,x(t))=0, 0

[ 2 ] - Numerical solution for boundary value problem of fractional order with approximate Integral and derivative

Approximating the solution of differential equations of fractional order is necessary because fractional differential equations have extensively been used in physics, chemistry as well as engineering fields. In this paper with central difference approximation and Newton Cots integration formula, we have found approximate solution for a class of boundary value problems of fractional order. Three...

[ 3 ] - Airy equation with memory involvement via Liouville differential operator

In this work, a non-integer order Airy equation involving Liouville differential operator is considered. Proposing an undetermined integral solution to the left fractional Airy differential equation, we utilize some basic fractional calculus tools to clarify the closed form. A similar suggestion to the right FADE, converts it into an equation in the Laplace domain. An illustration t...

[ 4 ] - An approximate method for solving fractional system differential equations

IIn this research work, we have shown that it is possible to use fuzzy transform method (FTM) for the estimate solution of fractional system differential equations (FSDEs). In numerical methods, in order to estimate a function on a particular interval, only a restricted number of points are employed. However, what makes the F-transform preferable to other methods is that it makes use of all poi...