Results 1 to 10 of about 46 (43)

ASUPRA REGULARIZĂRII OPERATORILOR INTEGRALI SINGULARI. CRITERII NOETHERIENE [PDF]

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   +3 more sources

Tensor Product Technique and Atomic Solution of Fractional Partial Differential Equations [PDF]

Journal of Applied Mathematics
JEL Classification: 34G10 ...
Ma’mon Abu Hammad, Waseem Ghazi Alshanti, Ahmad Alshanty, Roshdi Khalil   +3 more
doaj   +2 more sources

Abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm [PDF]

Advances in Difference Equations, 2011
In the present paper, we deal with the Cauchy problems of abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm, where the operator A in the linear part is the generator of a compact analytic semigroup ...
Wang Rong-Nian, Liu Jun, Chen De-Han
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

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

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

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

Convergence of multi-revolution composition time-splitting methods for highly oscillatory differential equations of Schrödinger type [PDF]

, 2017
International audienceThe convergence behaviour of multi-revolution composition methods combined with time-splitting methods is analysed for highly oscillatory linear differential equations of Schrödinger type.
Thalhammer, Mechthild, Mechthild Thalhammer, Chartier, Philippe, Méhats, Florian, Yong Zhang, Philippe Chartier, Florian Méhats, Zhang, Yong   +7 more
core   +2 more sources

Carleman estimates and unique continuation property for abstract elliptic equations [PDF]

, 2012
The unique continuation theorems for elliptic differential-operator equations with variable coefficients in vector-valued L (p) -space are investigated. The operator-valued multiplier theorems, maximal regularity properties and the Carleman estimates for
Shakhmurov, Veli B., Veli B Shakhmurov
core   +1 more source