Results 21 to 30 of about 659 (109)
On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on ℝN
Advances in Nonlinear Analysis, 2021 We are devoted to the study of a semilinear time fractional Rayleigh-Stokes problem on ℝN, which is derived from a non-Newtonain fluid for a generalized second grade fluid with Riemann-Liouville fractional derivative.
He Jia Wei +3 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 17, Page 901-912, 2004., 2004 First, we prove a necessary and sufficient condition for global in time existence of all solutions of an ordinary differential equation (ODE). It is a condition of one‐sided estimate type that is formulated in terms of so‐called proper functions on extended phase space.
Yuri E. Gliklikh, Lora A. Morozova
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Demonstratio Mathematica, 2023 In the current manuscript, we combine the q-fractional integral operator and q-fractional derivative to investigate a coupled hybrid fractional q-differential systems with sequential fractional q-derivatives. The existence and uniqueness of solutions for
Alzabut Jehad +2 more
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A singular initial value problem for some functional differential equations
International Journal of Stochastic Analysis, Volume 2004, Issue 3, Page 261-270, 2004., 2004 For the initial value problem trx′(t) = at + b1x(t) + b2x(q1t) + b3trx′(q2t) + φ(t, x(t), x(q1t), x′(t), x′(q2t)), x(0) = 0, where r > 1, 0 < qi ≤ 1, i ∈ {1, 2}, we find a nonempty set of continuously differentiable solutions x : (0, ρ] → ℝ, each of which possesses nice asymptotic properties when t → +0.
Ravi P. Agarwal +2 more
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On the Nonlinear Impulsive $\Psi$--Hilfer Fractional Differential Equations [PDF]
, 2019 In this paper, we consider the nonlinear $\Psi$-Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existence and uniqueness of results.
Kharade, Jyoti P. +2 more
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On the structure of ionizing shock waves in magnetofluiddynamics
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 7, Page 395-415, 2002., 2002 Ionizing shock waves in magnetofluiddynamics occur when the coefficient of electrical conductivity is very small ahead of the shock and very large behind it. For planner motion of plasma, the structure of such shock waves are stated in terms of a system of four‐dimensional equations.
A. Aghajani, M. Hesaaraki
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On the equivalence of three-dimensional differential systems
Open Mathematics, 2020 In this paper, firstly, we study the structural form of reflective integral for a given system. Then the sufficient conditions are obtained to ensure there exists the reflective integral with these structured form for such system.
Zhou Jian, Zhao Shiyin
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International Journal of Stochastic Analysis, Volume 12, Issue 1, Page 91-97, 1999., 1998 The aim of this paper is to investigate the existence and uniqueness of a classical solution to a functional‐differential abstract nonlocal Cauchy problem in a general Banach space. For this purpose, a special kind of a mild solution is introduced and the Banach contraction theorem and a modified Picard method are applied.
Ludwik Byszewski
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Well posedness for evolution inclusions
International Journal of Stochastic Analysis, Volume 7, Issue 4, Page 537-544, 1994., 1994 We prove the existence of a continuous selection of the multivalued map φ → Φ(φ) which is the set of all mild solutions of the evolution inclusion Here F is a multivalued map, Lipschitzian with respect to x, and A is the infinitesimal generator of a C0‐semigroup.
K. Balachandran, A. Anguraj
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The unique continuation property for a nonlinear equation on trees [PDF]
, 2014 In this paper, we study the game p-Laplacian on a tree, that is, u(x) = α / 2 max y∈S(x) u(y) + min y∈S(x) u(y) + β m y∈S(x) u(y);here x is a vertex of the tree and S(x) is the set of successors of x. We study the family of the subsets of the tree that
del Pezzo, Leandro Martin +2 more
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