Results 1 to 10 of about 378 (71)

Tensor Product Technique and Atomic Solution of Fractional Partial Differential Equations

Journal of Applied Mathematics
JEL Classification: 34G10 ...
Ma’mon Abu Hammad, Waseem Ghazi Alshanti, Ahmad Alshanty, Roshdi Khalil   +3 more
doaj   +3 more sources

ASUPRA REGULARIZĂRII OPERATORILOR INTEGRALI SINGULARI. CRITERII NOETHERIENE

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2020
Lucrarea este consacrată studiului algebrei (închise) generată de operatorii integrali singulari cu coeficienți continui pe conturul Γ. Sunt stabilite condiţiile necesare şi suficiente în care operatorii din algebra A sunt noetherieni în spaţiul Lp (Γ ...
Vasile NEAGU
doaj   +2 more sources

Inhomogeneous conformable abstract Cauchy problem

Open Mathematics, 2021
In this paper, we discuss the solution of the inhomogeneous conformable abstract Cauchy problem. The homogeneous problem is also studied. The analysis of conformable fractional calculus and fractional semigroups is also given.
Rabhi Lahcene, Al Horani Mohammed, Khalil Roshdi   +2 more
doaj   +1 more source

An analysis on the approximate controllability of Hilfer fractional neutral differential systems in Hilbert spaces

Alexandria Engineering Journal, 2022
This manuscript concerns the approximate controllability results in Hilbert space of Hilfer fractional differential inclusions. We show that the Hilfer fractional neutral differential inclusions are approximately controllable using Bohnenblust-Karlin’s ...
Yong-Ki Ma, K. Kavitha, Wedad Albalawi, Anurag Shukla, Kottakkaran Sooppy Nisar, V. Vijayakumar   +5 more
doaj   +1 more source

On the approximate controllability of non-densely defined Sobolev-type nonlocal Hilfer fractional neutral Volterra-Fredholm delay integro-differential system

Alexandria Engineering Journal, 2023
The main focus of our discussion is the approximate controllability of non-densely defined Sobolev-type Hilfer fractional neutral Volterra–Fredholm integro-differential systems.
K. Kavitha, V. Vijayakumar, Kottakkaran Sooppy Nisar   +2 more
doaj   +1 more source

Hilfer fractional neutral stochastic Sobolev-type evolution hemivariational inequality: Existence and controllability☆

Ain Shams Engineering Journal, 2023
This paper discusses the approximate controllability of hemivariational inequalities of the Sobolev-type Hilfer fractional neutral stochastic evolution system.
Yong-Ki Ma, C. Dineshkumar, V. Vijayakumar, R. Udhayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar   +5 more
doaj   +1 more source

Impulsive differential equations with nonlocal conditionsin general Banach spaces

Advances in Differential Equations, 2012
This article is concerned with impulsive semilinear differential equations with nonlocal initial conditions in Banach spaces. The approach used is fixed point theorem combined with the technique of operator transformation.
Lanping Zhu, Qixiang Dong, Gang Li
semanticscholar   +2 more sources

Periodic BVPs for fractional order impulsive evolution equations

Boundary Value Problems, 2014
In this paper, we study periodic BVPs for fractional order impulsive evolution equations. The existence and boundedness of piecewise continuous mild solutions and design parameter drift for periodic motion of linear problems are presented.
Xiulan Yu, Jinrong Wang
semanticscholar   +2 more sources

Well-posedness of a boundary value problem for a class of third-order operator-differential equations

Boundary Value Problems, 2013
This paper investigates the well-posedness of a boundary value problem on the semiaxis for a class of third-order operator-differential equations whose principal part has multiple real characteristics.
A. R. Aliev, A. Elbably
semanticscholar   +2 more sources

On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the real axis

Open Mathematics, 2020
Given the abstract evolution equation y′(t)=Ay(t),t∈ℝ,y^{\prime} (t)=Ay(t),t\in {\mathbb{R}}, with a scalar type spectral operator A in a complex Banach space, we find conditions on A, formulated exclusively in terms of the location of its spectrum in ...
Markin Marat V.
doaj   +1 more source