Results 11 to 20 of about 211,459 (306)

Results on Neutral Partial Integrodifferential Equations Using Monch-Krasnosel’Skii Fixed Point Theorem with Nonlocal Conditions

Fractal and Fractional, 2022
In this theory, the existence of a mild solution for a neutral partial integrodifferential nonlocal system with finite delay is presented and proved using the techniques of the Monch–Krasnosel’skii type of fixed point theorem, a measure of noncompactness
Chokkalingam Ravichandran, Kasilingam Munusamy, Kottakkaran Sooppy Nisar, Natarajan Valliammal   +3 more
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Mild Solutions for Impulsive Integro-Differential Equations Involving Hilfer Fractional Derivative with almost Sectorial Operators

Axioms, 2021
In this manuscript, we establish the mild solutions for Hilfer fractional derivative integro-differential equations involving jump conditions and almost sectorial operator. For this purpose, we identify the suitable definition of a mild solution for this
Kulandhaivel Karthikeyan, Panjaiyan Karthikeyan, Nichaphat Patanarapeelert, Thanin Sitthiwirattham   +3 more
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On the regularity of mild solutions to complete higher order differential equations on Banach spaces [PDF]

Surveys in Mathematics and its Applications, 2015
For the complete higher order differential equation u(n)(t)=Σk=0n-1Aku(k)(t)+f(t), t∈ R (*) on a Banach space E, we give a new definition of mild solutions of (*). We then characterize the regular admissibility of a translation invariant subspace al M of
Nezam Iraniparast, Lan Nguyen
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An Investigation on the Optimal Control for Hilfer Fractional Neutral Stochastic Integrodifferential Systems with Infinite Delay

Fractal and Fractional, 2022
The main concern of this manuscript is to study the optimal control problem for Hilfer fractional neutral stochastic integrodifferential systems with infinite delay.
Murugesan Johnson, Velusamy Vijayakumar
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A class of nonlocal integrodifferential equations via fractional derivative and its mild solutions [PDF]

Opuscula Mathematica, 2011
In this paper, we discuss a class of integrodifferential equations with nonlocal conditions via a fractional derivative of the type: \[\begin{aligned}D_{t}^{q}x(t)&=Ax(t)+\int\limits_{0}^{t}B(t-s)x(s)ds+t^{n}f\left(t,x(t)\right),&&t\in [0,T],\;n\in Z^{+},
JinRong Wang, X. Yan, X.-H. Zhang, T.-M. Wang, X.-Z. Li   +4 more
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Global mild solutions of Navier‐Stokes equations [PDF]

Communications on Pure and Applied Mathematics, 2011
AbstractWe establish a global well‐posedness of mild solutions to the three‐dimensional, incompressible Navier‐Stokes equations if the initial data are in the space ${\cal{X}}^{-1}$ defined by \input amssym ${\cal{X}}^{‐1} = \{f \in {\cal{D}}^\prime(R^3): \int_{{\Bbb{R}}^3}|\xi|^{‐1}|\widehat{f}|d\xi < \infty\}$ and if the norms of the initial data ...
Lei, Zhen, Lin, Fang-Hua
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Mild Solutions of Quantum Stochastic Differential Equations [PDF]

Electronic Communications in Probability, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
FAGNOLA, FRANCO, WILLS S. J.
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Impulsive functional differential inclusions of mixed type with finite delay

上海师范大学学报. 自然科学版, 2020
In this paper, using fixed point theorem for multi-valued maps, we obtain the existence result of mild solutions for a class of impulsive functional differential inclusions of mixed type with finite delay.
LI Xiaoyue, WANG Qi
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Mild Solutions to Semilinear Rough Partial Differential Equations

49 ...
Tappe, Stefan
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Conformable functional evolution equations with nonlocal conditions in Banach spaces [PDF]

Surveys in Mathematics and its Applications, 2023
In this paper, we study semilinear conformable fractional evolution equations with finite delay subjected to nonlocal initial conditions in an arbitrary Banach space.
Abderrahmane Boukenkoul , Mohamed Ziane
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