Results 71 to 80 of about 959 (173)

Cubic B-splines collocation method for a class of partial integro-differential equation

Alexandria Engineering Journal, 2018
In this paper, a numerical method is proposed to estimate the solution of initial-boundary value problems for a class of partial integro-differential equations.
M. Gholamian, J. Saberi-Nadjafi
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On the optimal control of systems governed by quasilinear integro-partial differential equations of parabolic type

Journal of Mathematical Analysis and Applications, 1977
AbstractRecently, M. N. Oğuztöreli presented certain results on the existence and uniqueness of solutions of systems governed by a linear integro-partial differential equation of parabolic type with delayed arguments. Since his results admit only smooth coefficients, they could not be used directly in the study of the optimal control problems with ...
Teo, K.L, Ahmed, N.U
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Solutions in several types of periodicity for partial neutral integro-differential equation

Electronic Journal of Differential Equations, 2013
In this article we study the existence of mild solutions in several types of periodicity for partial neutral integro-differential equations with unbounded delays.
Jose Paulo C. dos Santos, Sandro M. Guzzo   +1 more
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On Martínez-Kaabar fractal-fractional double Laplace transformation

Ain Shams Engineering Journal
An extended version of the Martinez-Kaabar fractal-fractional (MKF-F) calculus theory is investigated in this work, to the integral transformations and employed in solving some fractal-fractional (F-F) partial integro-differential equations. Specifically,
Francisco Martínez, Mohammed K.A. Kaabar   +1 more
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Regularity properties of viscosity solutions of integro-partial differential equations of Hamilton–Jacobi–Bellman type

Stochastic Processes and their Applications, 2013
25 ...
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Bounds of Certain Dynamic Inequalities on Time Scales

International Journal of Analysis and Applications, 2014
In this paper we study explicit bounds of certain dynamic integral inequalities on time scales. These estimates give the bounds on unknown functions which can be used in studying the qualitative aspects of certain dynamic equations.
Deepak B. Pachpatte
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Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems

Advances in Difference Equations, 2011
In this article, sufficient conditions for the existence result of quasilinear multi-delay integro-differential equations of fractional orders with nonlocal impulsive conditions in Banach spaces have been presented using fractional calculus, resolvent ...
Debbouche Amar
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A “MAXIMUM PRINCIPLE FOR SEMICONTINUOUS FUNCTIONS” APPLICABLE TO INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS

, 2003
We formulate and prove a non-local ``maximum principle for semicontinuous functions'' in the setting of fully nonlinear degenerate elliptic integro-partial differential equations with integro operators of second order. Similar results have been used implicitly by several researchers to obtain comparison/uniqueness results for integro-partial ...
Jakobsen, Espen R., Karlsen, Kenneth H.
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MODELING OF ELECTROMAGNETIC WAVES PROPAGATION IN THE MEDIUM WITH SPACE DISPERSION

Informatika, 2017
A mathematical model describing the propagation of electromagnetic waves in the medium with space dispersion is being developed. Modeling is based on the transformation of integro-differential equations of monochromatic electrodynamics for the fields in ...
T. V. Erofeenko
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Phase‐Lag Integro‐Partial Differential Equation: Local and Nonlocal Solutions

Advances in Mathematical Physics
Nonlocal information, such as material deformation, genetic genes, or the history of the disease, are essential as they provide us with additional details that increase the numerical solution’s accuracy. With the help of the phase delay, we may also predict the future of the phenomena we are researching.
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