Results 11 to 20 of about 72 (70)
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
doaj +1 more source
Coupled measure of noncompactness and functional integral equations
Open Mathematics, 2022 The aim of this article is to study the results of the fixed-point in coupled and tripled measure of noncompactness (MNC). We will use the technique of MNC for coupled and tripled MNC.
Hosseinzadeh Hasan +3 more
doaj +1 more source
On the existence and uniqueness of solution to Volterra equation on a time scale
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Using a global inversion theorem we investigate properties of the following ...
Kluczyński Bartłomiej
doaj +1 more source
Existence results to a ψ- Hilfer neutral fractional evolution equation with infinite delay
Nonautonomous Dynamical Systems, 2021 In this paper, we prove the existence and uniqueness of a mild solution to the system of ψ- Hilfer neutral fractional evolution equations with infinite delay H𝔻0αβ;ψ [x(t) − h(t, xt)] = A x(t) + f (t, x(t), xt), t ∈ [0, b], b > 0 and x(t) = ϕ(t), t ∈ (−∞,
Norouzi Fatemeh +1 more
doaj +1 more source
Journal of Function Spaces, Volume 5, Issue 1, Page 9-26, 2007., 2007 In this paper, we use a new method and combining the partial ordering method to study the existence of the solutions for the first order nonlinear impulsive integro‐differential equations of Volterra type on finite interval in Banach spaces and for the first order nonlinear impulsive integro‐differential equations of Volterra type on infinite interval ...
Jiang Zhu +3 more
wiley +1 more source
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
wiley +1 more source
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
doaj +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source