Results 71 to 80 of about 920 (176)

Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three

Open Mathematics
In this article, we study the Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three, of hyperbolic type, using Bielecki norm.
Marian Daniela, Ciplea Sorina Anamaria, Lungu Nicolaie   +2 more
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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

Exact solutions for nonlinear integro-partial differential equations using the generalized Kudryashov method

Journal of the Egyptian Mathematical Society, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gepreel, Khaled A., Nofal, Taher A., Alasmari, Ameara A.   +2 more
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Boundary value problem with shift for one partial differential equation containing partial fractional derivative

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
We investigate a nonlocal boundary value problem for the equation of special type. For $y > 0$ it is the equation of fractional diffusion, which contains partial fractional derivative of Riemann-Liouville.
Oleg A Repin
doaj   +1 more source

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
openaire   +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

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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Exponential Stability of Two Coupled Second-Order Evolution Equations

Advances in Difference Equations, 2011
By using the multiplier technique, we prove that the energy of a system of two coupled second order evolution equations (one is an integro-differential equation) decays exponentially if the convolution kernel decays exponentially. An example is give to
Wan Qian, Xiao Ti-Jun
doaj  

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.
openaire   +1 more source

Exploring New Traveling Wave Solutions to the Nonlinear Integro-Partial Differential Equations with Stability and Modulation Instability in Industrial Engineering

Computation
In this research article, we demonstrate the generalized expansion method to investigate nonlinear integro-partial differential equations via an efficient mathematical method for generating abundant exact solutions for two types of applicable nonlinear ...
J. R. M. Borhan, I. Abouelfarag, K. El-Rashidy, M. Mamun Miah, M. Ashik Iqbal, Mohammad Kanan   +5 more
doaj   +1 more source