Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions

JR Graef, L Kong, Q Kong, M Wang - Fractional Calculus and Applied …, 2012 - Springer
SURVEY PAPER UNIQUENESS OF POSITIVE SOLUTIONS OF FRACTIONAL BOUNDARY
VALUE PROBLEMS WITH NON-HOMOGENEOUS INTEGRAL BOUNDARY CONDI Page 1 …

On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions

B Ahmad, SK Ntouyas, A Alsaedi - Chaos, Solitons & Fractals, 2016 - Elsevier
We investigate a coupled system of fractional differential equations with nonlinearities
depending on the unknown functions as well as their lower order fractional derivatives …

On coupled systems of time‐fractional differential problems by using a new fractional derivative

A Alsaedi, D Baleanu, S Etemad… - Journal of Function …, 2016 - Wiley Online Library
The existence of solutions for a coupled system of time‐fractional differential equations
including continuous functions and the Caputo‐Fabrizio fractional derivative is examined …

Positive solutions for a class of higher order boundary value problems with fractional q-derivatives

JR Graef, L Kong - Applied Mathematics and Computation, 2012 - Elsevier
The authors study the boundary value problem with fractional q-derivativeswhere q∈(0, 1),
m⩾ 1 and n⩾ 2 are integers, n-1< ν⩽ n, λ⩾ 0 is a parameter, f:[0, 1]× R→[0,∞) is continuous …

An existence theorem for fractional hybrid differential inclusions of Hadamard type with Dirichlet boundary conditions

B Ahmad, SK Ntouyas - Abstract and Applied Analysis, 2014 - Wiley Online Library
An Existence Theorem for Fractional Hybrid Differential Inclusions of Hadamard Type with
Dirichlet Boundary Conditions - Ahmad - 2014 - Abstract and Applied Analysis - Wiley Online …

Separated boundary value problems of sequential Caputo and Hadamard fractional differential equations

J Tariboon, A Cuntavepanit, SK Ntouyas… - Journal of Function …, 2018 - Wiley Online Library
In this paper, we discuss the existence and uniqueness of solutions for new classes of
separated boundary value problems of Caputo‐Hadamard and Hadamard‐Caputo …

Existence results for a system of coupled hybrid fractional differential equations

B Ahmad, SK Ntouyas, A Alsaedi - The Scientific World Journal, 2014 - Wiley Online Library
This paper studies the existence of solutions for a system of coupled hybrid fractional
differential equations with Dirichlet boundary conditions. We make use of the standard tools …

New results for boundary value problems of Hadamard-type fractional differential inclusions and integral boundary conditions

B Ahmad, SK Ntouyas, A Alsaedi - Boundary value problems, 2013 - Springer
In this paper, we study the existence of solutions for a fractional boundary value problem
involving Hadamard-type fractional differential inclusions and integral boundary conditions …

[PDF][PDF] Existence of solutions to boundary value problems arising from the fractional advection dispersion equation

L Kong - Electron. J. Diff. Equ, 2013 - kurims.kyoto-u.ac.jp
We study the existence of multiple solutions to the boundary value problem d dt “1 2 0D− β t
(u (t))+ 1 2 tD− β T (u (t))”+ λ∇ F (t, u (t))= 0, t∈[0, T], u (0)= u (T)= 0, where T> 0, λ> 0 is a …

Some new versions of fractional boundary value problems with slit-strips conditions

B Ahmad, RP Agarwal - Boundary Value Problems, 2014 - Springer
We discuss the existence and uniqueness of solutions for a fractional differential equation of
order q∈(n− 1, n] with slit-strips type boundary conditions. The slit-strips type boundary …