Results 21 to 30 of about 12,609 (311)
Existence and Iterative Method for Some Riemann Fractional Nonlinear Boundary Value Problems
Mathematics, 2019 In this paper, we prove the existence and uniqueness of solution for some Riemann−Liouville fractional nonlinear boundary value problems. The positivity of the solution and the monotony of iterations are also considered. Some examples are presented
Imed Bachar +2 more
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Fractal and Fractional, 2023 The modeling of biological processes has increasingly been based on fractional calculus. In this paper, a novel fractional-order model is used to investigate the epidemiological impact of vaccination measures on the co-dynamics of viral hepatitis B and ...
Andrew Omame +3 more
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Journal of Computational and Applied Mathematics, 2019 In this work, we study the existence and uniqueness of the solution to the stochastic differential equation of the double Heston model which is defined by two independent variance processes with non-Lipschitz diffusions. Besides, we present a Monte Carlo
S. Fallah, F. Mehrdoust
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Some results for a p(x)-Kirchhoff type variation-inequality problems in non-divergence form
Open Mathematics, 2023 The author of this article concerns with the existence, uniqueness, and stability of the weak solution to the variation-inequality problem. The Kirchhoff operator is a non-divergence form with space variable parameter.
Dong Yan
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Existence and Uniqueness of Positive Solution for p-Laplacian Kirchhoff-Schrödinger-Type Equation
Advances in Mathematical Physics, 2018 We study the existence and uniqueness of positive solution for the following p-Laplacian-Kirchhoff-Schrödinger-type equation: -a+b∫Ω∇up∆pu+λvxup-2u=hfu-μgu, in Ω, u>0, in Ω, u=0,on ∂Ω, where Ω⊂RN (N≥3), λ,μ≥0 are parameters, v(x),f(u),g(u) and h ...
Wei Han, Jiangyan Yao
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Existence and uniqueness of mild solution to fractional stochastic heat equation
Modern Stochastics: Theory and Applications, 2018 For a class of non-autonomous parabolic stochastic partial differential equations defined on a bounded open subset $D\subset {\mathbb{R}^{d}}$ and driven by an ${L^{2}}(D)$-valued fractional Brownian motion with the Hurst index $H>1/2$, a new result on ...
Kostiantyn Ralchenko, Georgiy Shevchenko
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The regularity properties and blow-up of the solutions for improved Boussinesq equations
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we study the Cauchy problem for linear and nonlinear Boussinesq type equations that include the general differential operators. First, by virtue of the Fourier multipliers, embedding theorems in Sobolev and Besov spaces, the existence ...
Veli Shakhmurov, Rishad Shahmurov
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European Journal of Pure and Applied Mathematics, 2019 This paper focuses on a mixed fractional version of Heston model in which the volatility Brownian and price Brownian are replaced by mixed fractional Brownian motion with the Hurst parameter $H\in(\frac{3}{4},1)$ so that the model exhibits the long range
D. A. N. Njomen, Eric Djeutcha, L. Fono
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Existence of the Mild Solutions for Impulsive Fractional Equations with Infinite Delay
International Journal of Differential Equations, 2011 This paper is concerned with the existence and uniqueness of a mild solution of a semilinear fractional-order functional evolution differential equation with the infinite delay and impulsive effects.
Jaydev Dabas +2 more
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The existence and uniqueness of the solution for nonlinear elliptic equations in Hilbert spaces
Journal of Inequalities and Applications, 2015 The existence and uniqueness of the mild solution for semilinear elliptic partial differential equations associated with stochastic delay evolution equations are obtained by means of infinite horizon backward stochastic differential equations ...
Jianjun Zhou
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