Positive solutions for nonlinear fractional differential equation with nonlocal boundary conditions
Journal Title: Universal Journal of Mathematics and Applications (UJMA) - Year 2018, Vol 1, Issue 1
Abstract
In this paper, we study the boundary value problem of a class of fractional differential equations involving the Riemann-Liouville fractional derivative with nonlocal integral boundary conditions. To establish the existence results for the given problems, we use the properties of the Green’s function and the monotone iteration technique, one shows the existence of positive solutions and constructs two successively iterative sequences to approximate the solutions. The results are illustrated with an example.
Authors and Affiliations
Bouteraa Noureddine, Slimane Benaicha, Habib Djourdem
Keywords
Related Articles
- EP ID EP271771
- DOI -
- Views 98
- Downloads 0
Geodesics on the Momentum Phase Space with metric ^{{C}}{g}Cg
In this paper, a system of the differential equations giving geodesics on the momentum phase space with pseudo Riemann metric ^{C}g C g of a Hamilton space is found by using the Euler Lagrange equations. Then, space...
Modeling of fiber circumplacement around a hole using a streamline approach
The insertion of holes into laminates can be done by producing a fiber reinforced composite plate and, subsequently, drilling the borehole. Alternatively, we can bypass the fibers around the final hole before injecting t...
Boundedly solvable degenerate differential operators for first order
Using the methods of operator theory all boundedly solvable extensions of the minimal operator generated by degenerated type differential-operators expression in the weighted Hilbert space of vector-functions in finite i...
On \psiψ-Hilfer fractional differential equation with complex order
The objectives of this paper is to investigate some adequate results for the existence of solution to a \psiψ-Hilfer fractional derivatives (HFDEs) involving complex order. Appropriate conditions for the existence of at...
An algorithm for constructing S-boxes for block symmetric encryption
This article presents an algorithm for the generation of S-boxes with the maximum algebraic immunity and high nonlinearity. The algorithm is founded method of the permutation of output element of S-box. On basis of the p...