Explicit iteration and unbounded solutions for fractional integral boundary value problem on an infinite interval

Unbounded Solutions of a Boundary Value Problem for Abstract nth-Order Differential Equations on an Infinite Interval

The existence of unbounded nonnegative solutions of a boundary value problem for nth-order differential equations defined on an infinite interval is obtained by means of the M ¨ onch fixed-point theorem. An example is then presented to demonstrate the application of our results.

On a Multipoint Boundary Value Problem for a Fractional Order Differential Inclusion on an Infinite Interval

1 Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah 67149, Iran 2Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, Cankaya University, 06530 Ankara, Turkey 3 Institute of Space Sciences, P.O. BOX MG-23, 76900 Magurele, Bucharest, Romania 4Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O...

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...

Existence of Unbounded Solutions for a Third-Order Boundary Value Problem on Infinite Intervals

On boundary value problem for fractional differential equations

In this paper‎, ‎we study the existence of solutions for a‎ ‎ fractional boundary value problem‎. ‎By using critical point theory‎ ‎ and variational methods‎, ‎we give some new criteria to guarantee‎ ‎ that‎ ‎ the problems have at least one solution and infinitely many solutions.