Results 1 to 10 of about 60 (60)

Existence results for neutral evolution equations with nonlocal conditions and delay via fractional operator

open access: yesOpen Mathematics, 2022
In this paper, we study the existence of solutions for the neutral evolution equations with nonlocal conditions and delay in α\alpha -norm, which are more general than in many previous publications.
Zhang Xuping, Sun Pan
doaj   +1 more source

Approximate controllability for a stochastic elastic system with structural damping and infinite delay

open access: yesOpen Mathematics, 2023
In this article, we study the existence of mild solutions and the approximate controllability for a class of stochastic elastic systems with structural damping and infinite delay in Hilbert spaces.
Peng Jiankui   +3 more
doaj   +1 more source

An interpretation on controllability of Hilfer fractional derivative with nondense domain

open access: yesAlexandria Engineering Journal, 2022
Controllability results of Hilfer delay fractional derivative(HDFD) with nondense operator have been articulated in this article. Primary discussions were made on the existence of mild solution using the Banach contraction principle and continued with ...
C. Ravichandran   +4 more
doaj   +1 more source

Existence and continuous dependence results for fractional evolution integrodifferential equations of order r∈(1,2)

open access: yesAlexandria Engineering Journal, 2022
The article analyzes the existence of Caputo fractional evolution integrodifferential equations of order ...
Yong-Ki Ma   +5 more
doaj   +1 more source

Solvability of the abstract evolution equations in Ls-spaces with critical temporal weights

open access: yesOpen Mathematics, 2021
This paper deals with the abstract evolution equations in Ls{L}^{s}-spaces with critical temporal weights. First, embedding and interpolation properties of the critical Ls{L}^{s}-spaces with different exponents ss are investigated, then solvability of ...
Zhang Qinghua, Tan Zhizhong
doaj   +1 more source

Existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
In this article we study the existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales. The main tool employed here is Schauder’s fixed point theorem.
Bouchelaghem Faycal   +2 more
doaj   +1 more source

Exact controllability of fractional neutral integro-differential systems with state-dependent delay in Banach spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (
Kailasavalli S.   +3 more
doaj   +1 more source

Existence and regularity of mild solutions in some interpolation spaces for functional partial differential equations with nonlocal initial conditions

open access: yesOpen Mathematics, 2018
This paper is devoted to study the existence and regularity of mild solutions in some interpolation spaces for a class of functional partial differential equations with nonlocal initial conditions. The linear part is assumed to be a sectorial operator in
Zhang Xuping, Chen Qiyu, Li Yongxiang
doaj   +1 more source

Existence of solutions for delay evolution equations with nonlocal conditions

open access: yesOpen Mathematics, 2017
In this paper, we are devoted to study the existence of mild solutions for delay evolution equations with nonlocal conditions. By using tools involving the Kuratowski measure of noncompactness and fixed point theory, we establish some existence results ...
Zhang Xuping, Li Yongxiang
doaj   +1 more source

Monotone iterative technique for non-autonomous semilinear differential equations with nonlocal condition

open access: yesDemonstratio Mathematica, 2019
The objective of this article is to discuss the existence and uniqueness of mild solutions for a class of non-autonomous semilinear differential equations with nonlocal condition via monotone iterative method with upper and lower solutions in an ordered ...
Meraj Arshi, Pandey Dwijendra Narain
doaj   +1 more source

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