Results 31 to 40 of about 88 (85)
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
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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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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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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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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A novel algorithm for time-fractional foam drainage equation
Alexandria Engineering Journal, 2020 In this work, we present a novel numerical algorithm for solving the nonlinear time-fractional foam drainage equation at early stages of the time. The analytical solution of the nonlinear time-fractional foam drainage equation is represented by a linear ...
Qasem M. Al-Mdallal +2 more
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Controllability and Modeling Perspectives of Tempered Ψ‐Caputo Fractional Systems
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this article, we investigated the controllability of fractional dynamical systems (FDS) involving the tempered Ψ‐Caputo fractional derivative (FD). First, we derived the solution representation for this generalized FD with the help of Laplace transform and Mittag–Leffler (M‐L) function.
Inzamamul Haque +3 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates a new class of coupled fractional‐order systems driven by the generalized weighted fractional operator in the Caputo sense, recently introduced with a modified Mittag‐Leffler kernel and an auxiliary strictly increasing function φ. This operator provides a unified framework that recovers many well‐known fractional derivatives and
Fawziah M. Alotaibi, Smritijit Sen
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Existence and Ulam stability of initial value problem for fractional perturbed functional q-difference equations [PDF]
In this work, we discuss the existence and uniqueness of solutions to the initial value problem for perturbed functional fractional q-difference equations involving q-derivative of the Caputo sense. By applying Banach contraction principle and Burton and
HAMANI, Samira, ALLOUCH, Nadia M.G.
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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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