Results 11 to 20 of about 727 (127)
Three‐Point Boundary Value Problems for the Langevin Equation with the Hilfer Fractional Derivative
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 We discuss the existence and uniqueness of solutions for the Langevin fractional differential equation and its inclusion counterpart involving the Hilfer fractional derivatives, supplemented with three‐point boundary conditions by means of standard tools of the fixed‐point theorems for single and multivalued functions.
Athasit Wongcharoen +4 more
wiley +2 more sources
Boundary Value Problems, 2011 This article investigates a boundary value problem of Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions.
Ahmad Bashir, Nieto Juan
doaj +2 more sources
Green's function for singular fractional differential equations and applications [PDF]
arXiv.org, 2022 In this paper, we study the existence of positive solutions for nonlinear fractional differential equation with a singular weight. We derive the Green’s function and corresponding integral operator and then examine compactness of the operator.
Jinsil Lee, Yong-Hoon Lee
semanticscholar +1 more source
Malaya Journal of Matematik, 2022 In this paper we shall use the upper and lower solutions method to prove the existence of at least one solution for the second order equation defined on unbounded intervals with integral conditions on the boundary: u (t)−mu (t) + f(t, eu (t) , e u (t)) =
A. Cabada, R. Khaldi
semanticscholar +1 more source
Journal of Advances in Applied & Computational Mathematics, 2022 This research paper aims to establish the uniqueness of the solution to fourth-order nonlinear differential equations v(4)(x) + f (x,v(x)) = 0, x ε [a,b], with non-homogeneous boundary conditions where 0 ≤ a < ζ < b, the constants α, ????
Madhubabu B, N. Sreedhar, K. R. Prasad
semanticscholar +1 more source
Miskolc Mathematical Notes, 2022 . In this paper, we study the existence of a non-trivial solution in W 1 , p ( x ) 0 ( Ω ) for the problem (cid:40) ∆ p ( x ) u = f ( x , u , ∇ u ) in Ω , u = 0 in Ω . The proof is based on Schaefer’s fixed point theorem.
S. Ayadi, Ozgur Ege
semanticscholar +1 more source
Boundary value problems for fractional differential equations
Boundary Value Problems, 2014 In this paper we study the existence of solutions of nonlinear fractional differential equations at resonance. By using the coincidence degree theory, some results on the existence of solutions are obtained. MSC: 34A08, 34B15.
Zhigang Hu, Wenbin Liu, Jiayin Liu
semanticscholar +1 more source
Positive solution of a fractional differential equation with integral boundary conditions
Journal of Applied Mathematics and Computational Mechanics, 2018 In this paper, we prove the existence and uniqueness of a positive solution for a boundary value problem of nonlinear fractional differential equations involving a Caputo fractional operator with integral boundary conditions.
Mohammed S Abdo +2 more
semanticscholar +1 more source
Multi-bump solutions for a Kirchhoff-type problem
Advances in Nonlinear Analysis, 2016 In this paper, we study the existence of solutions for the Kirchhoff problem M(∫ℝ3|∇u|2dx+∫ℝ3(λa(x)+1)u2dx)(-Δu+(λa(x)+1)u)=f(u)$M\Biggl (\int _{\mathbb {R}^{3}}|\nabla u|^{2}\, dx + \int _{\mathbb {R}^{3}} (\lambda a(x)+1)u^{2}\, dx\Biggl ) (- \Delta u +
Alves Claudianor O. +1 more
doaj +1 more source
The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator
, 2016 In this work we study the following singular problem involving the fractional Laplace operator: (Pλ ) { L u = a(x) uγ +λ f (x,u) in Ω; u = 0, in RN \Ω, where Ω ⊂ RN , N 2 be a bounded smooth domain, a ∈C(Ω), λ is a positive parameter and 0 < γ < 1, 2 < r
A. Ghanmi, K. Saoudi
semanticscholar +1 more source