Results 21 to 30 of about 72 (70)
Coupled system of a fractional order differential equations with weighted initial conditions
Open Mathematics, 2019 Here, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem.
El-Sayed Ahmed M. A. +1 more
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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
wiley +1 more source
Theory and applications of first-order systems of Stieltjes differential equations
Advances in Nonlinear Analysis, 2017 We set up the basic theory of existence and uniqueness of solutions for systems of differential equations with usual derivatives replaced by Stieltjes derivatives.
Frigon Marlène, Pouso Rodrigo López
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Acta Universitatis Sapientiae: Mathematica, 2016 In this paper, we study the existence of periodic and non-negative periodic solutions of the nonlinear neutral differential equation ddtx(t)=−a (t) h (x (t))+ddtQ (t, x (t−τ (t)))+G (t, x(t), x (t−τ (t))).$${{\rm{d}} \over {{\rm{dt}}}}{\rm{x}}({\rm{t}}) =
Mesmouli Mouataz Billah +2 more
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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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An investigation of fractional Bagley-Torvik equation
Open Mathematics, 2019 In this paper the authors prove the existence as well as approximations of the solutions for the Bagley-Torvik equation admitting only the existence of a lower (coupled lower and upper) solution.
Fazli Hossein, Nieto Juan J.
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Development of Aβ and anti-Aβ dynamics models for Alzheimer’s disease
Computational and Mathematical BiophysicsAlzheimer’s disease is one of the most prevalent types of dementia worldwide. It is caused by the accumulation of amyloid-beta (Aβ) plaques in the brain, disrupting communication pathways and memory.
Cindyawati Cindyawati +3 more
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Nonlinear EngineeringThis article demonstrates the behavior of generalized (ψ,φ\psi ,\varphi )-type contraction mappings involving expressions of rational-type in the context of super-metric spaces.
Shah Syed Khayyam +4 more
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Nonautonomous Dynamical Systems, 2019 The main motive of this research article is to establish the existence, uniqueness and stability results for the non-linear fractional differential equation with impulsive condition on time scales.
Kumar Vipin, Malik Muslim
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FLOW WITH $A_{\infty }(\mathbb{R})$ DENSITY AND TRANSPORT EQUATION IN $\text{BMO}(\mathbb{R})$
Forum of Mathematics, Sigma, 2019 We show that, if $b\in L^{1}(0,T;L_{\operatorname{loc}}^{1}(\mathbb{R}))$ has a spatial derivative in the John–Nirenberg space $\operatorname{BMO}(\mathbb{R})$, then it generates a unique flow $\unicode[STIX]{x1D719}(t,\cdot )$ which has an $A_{\infty }(\
RENJIN JIANG, KANGWEI LI, JIE XIAO
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