Results 1 to 10 of about 3,751,517 (253)

Existence of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay [PDF]

Journal of Inequalities and Applications, 2017
In this paper, we deal with a class of nonlinear fractional nonautonomous evolution equations with delay by using Hilfer fractional derivative, which generalizes the famous Riemann-Liouville fractional derivative. The definition of mild solutions for the
Haide Gou, Baolin Li
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Topological Structure of the Solution Sets for Impulsive Fractional Neutral Differential Inclusions with Delay and Generated by a Non-Compact Demi Group

Fractal and Fractional, 2022
In this paper, we give an affirmative answer to a question about the sufficient conditions which ensure that the set of mild solutions for a fractional impulsive neutral differential inclusion with state-dependent delay, generated by a non-compact semi ...
Zainab Alsheekhhussain, Ahmed Gamal Ibrahim, Akbar Ali   +2 more
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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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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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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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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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Estimates of Mild Solutions of Navier–Stokes Equations in Weak Herz-Type Besov–Morrey Spaces

Mathematics, 2022
The main goal of this article is to provide estimates of mild solutions of Navier–Stokes equations with arbitrary external forces in Rn for n≥2 on proposed weak Herz-type Besov–Morrey spaces.
Ruslan Abdulkadirov, Pavel Lyakhov
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Analysis of Hilfer Fractional Integro-Differential Equations with Almost Sectorial Operators

Fractal and Fractional, 2021
In this work, we investigate a class of nonlocal integro-differential equations involving Hilfer fractional derivatives and almost sectorial operators. We prove our results by applying Schauder’s fixed point technique.
Kulandhaivel Karthikeyan, Amar Debbouche, Delfim F. M. Torres   +2 more
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