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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
Athasit Wongcharoen +3 more
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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.
J. Lee, Yong-Hoon Lee
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Blowing-up solutions for time-fractional equations on a bounded domain
Advances in Mechanical Engineering, 2022 This paper proposes initial-boundary value problems for time-fractional analogs of Kuramoto-Sivashinsky, Korpusov-Pletner-Sveshnikov, Cahn-Allen, and Hoff equations due to a bounded domain.
Abdellatif Boutiara +4 more
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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
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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
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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
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Strictly positive solutions for one-dimensional nonlinear problems involving the p-Laplacian [PDF]
, 2013 Let $\Omega$ be a bounded open interval, and let $p>1$ and $q\in\left(0,p-1\right) $. Let $m\in L^{p^{\prime}}\left(\Omega\right) $ and $0\leq c\in L^{\infty}\left(\Omega\right) $.
Kaufmann, Uriel, Medri, Ivan
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A class of nonlinear third-order boundary value problem with integral condition at resonance
Differential Equations & Applications, 2021 We are interested in the existence result for a class of nonlinear third-order three-point boundary value problem with integral condition at resonance.
H. Djourdem
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Existence of solutions to nonlinear Sturm-Liouville problems with large nonlinearities
Differential Equations & Applications, 2021 In this paper, we present results which allow us to establish the existence of solutions to nonlinear Sturm-Liouville problems with unbounded nonlinearities. We consider both regular and singular problems.
B. Freedman, Jesús F. Rodríguez
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The convergence of exponential operators connected with x^3 on functions of bounded variation
Miskolc Mathematical Notes, 2021 In the present paper, we estimate the rate of convergence of exponential type operators connected with x3 on functions of bounded variation.
Vijay Gupta
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