ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar+3 more
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Exploring novel solitary wave phenomena in Klein-Gordon equation using ϕ 6 model expansion method. [PDF]
Madani YA+5 more
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Detecting degenerate behaviors in first order algebraic differential equations
Évelyne Hubert
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Differential equations and computer algebra
openaire +2 more sources
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis+2 more
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Investigating the stochastic higher dimensional nonlinear Schrodinger equation to telecommunication engineering. [PDF]
Khan A+5 more
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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar+3 more
wiley +1 more source
Compacting the Time Evolution of the Forced Morse Oscillator Using Dynamical Symmetries Derived by an Algebraic Wei-Norman Approach. [PDF]
Hamilton JR, Remacle F, Levine RD.
europepmc +1 more source
Singularly Perturbed Differential/Algebraic Equations. I: Asymptotic Expansion of Outer Solutions
Xiaopu Yan
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Dynamical Analysis of an HIV Infection Model Including Quiescent Cells and Immune Response
ABSTRACT This research gives a thorough examination of a human immunodeficiency virus (HIV) infection model that includes quiescent cells and immune response dynamics in the host. The model, represented by a system of ordinary differential equations, captures the complex interaction between the host's immune response and viral infection.
Ibrahim Nali+3 more
wiley +1 more source