Results 21 to 30 of about 8,232,469 (362)

Numerical analysis of nonlinear parabolic problems with variable exponent and $L^1$ data

open access: yesCubo, 2022
In this paper, we make the numerical analysis of the mild solution which is also an entropy solution of parabolic problem involving the $p(x)-$Laplacian operator with $L^1-$ data.
Stanislas Ouaro   +2 more
doaj   +1 more source

Corrosion inhibition of mild steel in hydrochloric acid solution by the expired Ampicillin drug

open access: yesScientific Reports, 2023
This study examines the utilization of the expired drug, namely ampicillin, as a mild steel corrosion inhibitor in an acidic environment. The inhibitor was evaluated using weight loss and electrochemical measurement accompanied with surface analytical ...
K. Alamry   +4 more
semanticscholar   +1 more source

Qualitative analysis of nonlinear implicit neutral differential equation of fractional order

open access: yesAIMS Mathematics, 2021
In this paper, we discuss sufficient conditions for the existence of solutions for a class of Initial value problem for an neutral differential equation involving Caputo fractional derivatives. Also, we discuss some types of Ulam stability for this class
H. H. G. Hashem, Hessah O. Alrashidi
doaj   +1 more source

Impulsive fractional differential inclusions with state-dependent delay [PDF]

open access: yesMathematica Moravica, 2019
In this paper, we prove the existence of mild solution for impulsive fractional inclusions with state-dependent delay in Banach spaces. Our study is based on the nonlinear alternative of Leray-Schauder type for multivalued maps due to Martelli.
Aissani Khalida, Benchohra Mouffak
doaj  

Cauchy problem for non-autonomous fractional evolution equations with nonlocal conditions of order (1,2)

open access: yesAIMS Mathematics, 2022
This article contracts through Cauchy problems in infinite-dimensional Banach spaces towards a system of nonlinear non-autonomous mixed type integro-differential fractional evolution equation by nonlocal conditions through noncompactness measure (MNC ...
Naveed Iqbal   +4 more
doaj   +1 more source

Heat equation with general stochastic measure colored in time

open access: yesModern Stochastics: Theory and Applications, 2014
A stochastic heat equation on $[0,T]\times \mathbb{R}$ driven by a general stochastic measure $d\mu (t)$ is investigated in this paper. For the integrator μ, we assume the σ-additivity in probability only. The existence, uniqueness, and Hölder regularity
Vadym Radchenko
doaj   +1 more source

New Stability Results for Abstract Fractional Differential Equations with Delay and Non-Instantaneous Impulses

open access: yesMathematics, 2023
This research delves into the field of fractional differential equations with both non-instantaneous impulses and delay within the framework of Banach spaces.
Abdellatif Benchaib   +3 more
doaj   +1 more source

Mild Solutions of Second-Order Semilinear Impulsive Differential Inclusions in Banach Spaces

open access: yesMathematics, 2022
In this paper, the existence of a mild solution to the Cauchy problem for impulsive semilinear second-order differential inclusion in a Banach space is investigated in the case when the nonlinear term also depends on the first derivative. This purpose is
Martina Pavlačková, Valentina Taddei
doaj   +1 more source

Existence and Controls for Fractional Evolution Equations

open access: yesAxioms
In this paper, we investigate the existence and uniqueness of mild solutions for non-autonomous fractional evolution equations (NFEEs) using the technique of non-compactness measure, focusing on scenarios where the semigroup is non-compact.
Ying Chen, Yong Zhou
doaj   +1 more source

Asymptotic Controllability of Coupled Fractional Stochastic Sobolev-Type Systems with a Nonlocal Condition

open access: yesFractal and Fractional
This paper discusses the asymptotic controllability of fractional-order Sobolev-type perturbed stochastic control systems with Brownian motion and nonlocal fractional-order Sobolev stochastic conditions.
Tayeb Blouhi   +6 more
doaj   +1 more source

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