Results 21 to 30 of about 813 (186)

Local existence for an impulsive fractional neutral integro-differential system with Riemann–Liouville fractional derivatives in a Banach space

Advances in Difference Equations, 2018
In this manuscript, we investigate a sort of fractional neutral integro-differential equations with impulsive outcomes and extend the formula of general solutions for the impulsive fractional neutral integro-differential system in a Banach space.
Palaniyappan Kalamani, Dumitru Baleanu, Mani Mallika Arjunan   +2 more
doaj   +1 more source

Numerical analysis of finite difference schemes arising from time-memory partial integro-differential equations

Frontiers in Applied Mathematics and Statistics, 2022
This paper investigates the partial integro-differential equation of memory type numerically. The differential operator is discretized based on θ-finite difference schemes, while the integral operator is approximated using Simpson's rule. The mesh points
M. Fakharany, Mahmoud M. El-Borai, M. A. Abu Ibrahim   +2 more
doaj   +1 more source

Generalized Quantum Integro-Differential Fractional Operator with Application of 2D-Shallow Water Equation in a Complex Domain

Axioms, 2021
In this paper, we aim to generalize a fractional integro-differential operator in the open unit disk utilizing Jackson calculus (quantum calculus or q-calculus).
Rabha W. Ibrahim, Dumitru Baleanu
doaj   +1 more source

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
doaj   +1 more source

Gevrey regularity for integro-differential operators

Journal of Mathematical Analysis and Applications, 2015
We prove a regularity theory in the Gevrey class for a family of nonlocal differential equations of elliptic type.
G. Albanese, A. Fiscella, E. Valdinoci
openaire   +6 more sources

Polynomial Solutions and Annihilators of Ordinary Integro-Differential Operators [PDF]

IFAC Proceedings Volumes, 2013
In this paper, we study algorithmic aspects of linear ordinary integro-differential operators with polynomial coefficients. Even though this algebra is not noetherian and has zero divisors, Bavula recently proved that it is coherent, which allows one to develop an algebraic systems theory. For an algorithmic approach to linear systems theory of integro-
Quadrat, Alban, Regensburger, Georg
openaire   +2 more sources

Optimal dividends for a NatCat insurer in the presence of a climate tipping point

Canadian Journal of Statistics, EarlyView.
Abstract We study optimal dividend strategies for an insurance company facing natural catastrophe claims, anticipating the arrival of a climate tipping point after which the claim intensity and/or the claim size distribution of the underlying risks deteriorates irreversibly.
Hansjörg Albrecher, Pablo Azcue, Nora Muler   +2 more
wiley   +1 more source

Linear inverse problems for integro-differential equations in Banach spaces with a bounded operator

Современная математика: Фундаментальные направления
In this paper, we study the questions of well-posedness of linear inverse problems for equations in Banach spaces with an integro-differential operator of the Riemann-Liouville type and a bounded operator at the unknown function.
V. E. Fedorov, A. D. Godova
doaj   +1 more source

Fixed point theorems for sum operator with parameter

Journal of Inequalities and Applications, 2020
This paper develops some new existence and uniqueness theorems of a fixed point for a class of sum operator equations with parameter λ 1 A ( x , x ) + λ 2 B ( x , x ) + λ 3 C x + λ 4 D x = x $\lambda _{1}A(x,x)+\lambda _{2}B(x,x)+\lambda _{3}Cx+\lambda _{
Nan Zhang, Lingling Zhang, Bibo Zhou, Huimin Tian   +3 more
doaj   +1 more source

Quenching the Hubbard Model: Comparison of Nonequilibrium Green's Function Methods

Contributions to Plasma Physics, EarlyView.
ABSTRACT We benchmark nonequilibrium Green's function (NEGF) approaches for interaction quenches in the half‐filled Fermi–Hubbard model in one and two dimensions. We compare fully self‐consistent two‐time Kadanoff–Baym equations (KBE), the generalized Kadanoff–Baym ansatz (GKBA), and the recently developed NEGF‐based quantum fluctuations approach (NEGF‐
Jan‐Philip Joost, Christopher Makait, Alexander Osterkorn, Erik Schroedter   +3 more
wiley   +1 more source