Results 11 to 20 of about 12,609 (311)
Fractal and Fractional, 2021 Fractional-order boundary value problems are used to model certain phenomena in chemistry, physics, biology, and engineering. However, some of these models do not meet the existence and uniqueness required in the mainstream of mathematical processes ...
Areen Al-khateeb +3 more
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The Journal of Applied Analysis and Computation, 2020 This paper studies a class of nonlinear fractional q-difference equations with integral boundary conditions. By exploiting the properties of Green’s function and two fixed point theorems for a sum operator, the existence and uniqueness of positive ...
Caixia Guo +3 more
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Existence and uniqueness of elliptic systems with double phase operators and convection terms [PDF]
Journal of Mathematical Analysis and Applications, 2020 In this paper we study quasilinear elliptic systems driven by so-called double phase operators and nonlinear right-hand sides depending on the gradients of the solutions.
G. Marino, Patrick Winkert
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Existence and uniqueness of solutions to singular ODE’s
Archiv der Mathematik, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gorka, Przemyslaw, Rybka, Piotr
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Local existence for a viscoelastic Kirchhoff type equation with the dispersive term, internal damping, and logarithmic nonlinearity [PDF]
Opuscula Mathematica, 2023 This paper concerns a viscoelastic Kirchhoff-type equation with the dispersive term, internal damping, and logarithmic nonlinearity. We prove the local existence of a weak solution via a modified lemma of contraction of the Banach fixed-point theorem ...
Sebastião Cordeiro +4 more
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Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem
International Journal of Differential Equations, 2013 We prove the existence and uniqueness of entropy solution for nonlinear anisotropic elliptic equations with Neumann homogeneous boundary value condition for -data.
B. K. Bonzi, S. Ouaro, F. D. Y. Zongo
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Existence and Uniqueness of Solution to Semilinear Fractional Elliptic Equation
Journal of Applied Mathematics and Physics, 2019 In this work, we study the following problem. , where is the fractional Laplacian and Ω is a bounded domain in R N with Lipschitz boundary. g : R→R is an increasing locally Lipschitz continuous function. and f ∈L m (Ω), .
Shan Liu
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On Existence and Uniqueness of Solutions of a Nonlinear Integral Equation [PDF]
Journal of Applied Mathematics, 2011 The purpose of this paper is to study the existence of fixed point for a nonlinear integral operator in the framework of Banach space X : = C([a, b], ℝn). Later on, we give some examples of applications of this type of results.
Madjid Eshaghi Gordji +2 more
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Abstract and Applied Analysis, 2013 We discuss the existence and uniqueness of solution for two types of fractional order ordinary and delay differential equations. Fixed point theorems are the main tool used here to establish the existence and uniqueness results.
Hadi Karami +2 more
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Advances in Difference Equations, 2017 This paper is concerned with the existence and uniqueness of solutions for a coupled system of fractional differential equations supplemented with the multi-strip and multi-point mixed boundary conditions.
Mengyan Cui, Yuke Zhu, Huihui Pang
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