Results 71 to 80 of about 813 (186)

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

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  

MODELS OF BASIC ELECTROMAGNETIC WAVES IN THE BI-ISOTROPIC MEDIUM WITH SPACE DISPERSION

Informatika, 2018
A mathematical models describing the propagation of monochromatic electromagnetic waves in the biisotropic medium with space dispersion is being developed.
V. T. Erofeenko
doaj  

Boundary value problems for elliptic integro-differential operators [PDF]

Mathematische Zeitschrift, 1996
This paper is a continuation of the previous work ``Boundary value problems and Markov processes'', Springer Lect. Notes Math. 1499 (1991; Zbl 0766.60097) where we studied a class of degenerate boundary value problems for second-order elliptic differential operators and proved that this class of boundary value problems generates analytic semigroups ...
openaire   +2 more sources

On the Existence of Solutions and Ulam-Type Stability for a Nonlinear ψ-Hilfer Fractional-Order Delay Integro-Differential Equation

Fractal and Fractional
In this work, we address a nonlinear ψ-Hilfer fractional-order Volterra integro-differential equation that incorporates n-multiple-variable time delays.
Cemil Tunç, Fehaid Salem Alshammari, Fahir Talay Akyıldız   +2 more
doaj   +1 more source

Solvability of Dirichlet problem with Integro-differential Operator

, 2016
24 pages, 3 figures, To appear in SIAM Journal on Control and ...
Bayraktar, Erhan, Song, Qingshuo
openaire   +2 more sources

Multiple solutions for a fractional $p$-Kirchhoff system with singular nonlinearity

Electronic Journal of Qualitative Theory of Differential Equations
This paper examines a class of fractional p-Kirchhoff systems driven by a nonlocal integro-differential operator with singular nonlinearity. By making use of Nehari manifold techniques, the existence of two nontrivial solutions is established.
Zijian Wu
doaj   +1 more source

An integro-differential operator and the associated semigroup of operators

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1983
The representation of a semigroup connected with the solution of an integrodifferential operator is given. A converse problem was treated by the same author [Representation of the generator and the boundary condition for semigroups of operators of kernel type, ibid. 59, 414-417 (1983)]
openaire   +3 more sources

Remarks on a New Variable-Coefficient Integro-Differential Equation via Inverse Operators

Fractal and Fractional
In this paper, we investigate functional inverse operators associated with a class of fractional integro-differential equations. We further explore the existence, uniqueness, and stability of solutions to a new integro-differential equation featuring ...
Chenkuan Li, Nate Fingas, Ying Ying Ou
doaj   +1 more source

Nonlinear integro-differential operator regression with neural networks

, 2018
5 pages, 3 figures, preprint submitted to the Journal of Computational ...
Patel, Ravi G., Desjardins, Olivier
openaire   +2 more sources

Some properties for integro-differential operator defined by a fractional formal. [PDF]

Springerplus, 2016
Abdulnaby ZE, Ibrahim RW, Kılıçman A.
europepmc   +1 more source