We consider the questions of one value solvability of the inverse problem for a nonlinear partial Fredholm type integro-differential equation of the fourth order with degenerate kernel. The method of degenerate kernel is developed for the case of inverse
Tursun K Yuldashev
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Integro-partial differential equations with singular terminal condition [PDF]
In this paper, we show that the minimal solution of a backward stochastic differential equation gives a probabilistic representation of the minimal viscosity solution of an integro-partial differential equation both with a singular terminal condition.
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Inverse problem for a Fredholm third order partial integro-differential equation
The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
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On The Semi-Analytical Solution of Integro-Partial Differential Equations
Abstract The breakage and aggregation processes in batch systems had attained highly interest in applied mathematics and engineering fields. In this work, we developed analytical solutions of the particle breakage and aggregation using the population balance equation (PBE) in batch flow systems.
Abdelmalek Hasseine +3 more
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Numerical Analysis of Iterative Fractional Partial Integro-Differential Equations
Many nonlinear phenomena are modeled in terms of differential and integral equations. However, modeling nonlinear phenomena with fractional derivatives provides a better understanding of processes having memory effects.
Hayman Thabet +2 more
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Non-linear degenerate integro-partial differential evolution equations related to geometric Lévy processes and applications to backward stochastic differential equations [PDF]
We prove a comparison principle for unbounded semicontinuous viscosity sub- and supersolutions of non-linear degenerate parabolic integro-partial differential equations coming from applications in mathematical finance in which geometric Levy processes act as the underlying stochastic processes for the assets dynamics. As a consequence of the “geometric
AMADORI, Anna Lisa +2 more
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Bounded and multiperiodic solutions of the system of partial integro-differential equations
The system of partial integro - differential equations with an operator of differentiation with respect to directions of vector field is considered. The considering integro - differential equation does not contain space variables.
G.M. Aitenova +3 more
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Solving Partial Integro-Differential Equations via Double Formable Transform
In this study, we present a new double integral transform called the double formable transform. Several properties and theorems related to existing conditions, partial derivatives, the double convolution theorem, and others are presented.
Bayan Ghazal +2 more
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Asymptotically Almost Periodic Solutions for Abstract Partial Neutral Integro-Differential Equation
The existence of asymptotically almost periodic mild solutions for a class of abstract partial neutral integro-differential equations with unbounded delay is studied.
Marcos N. Rabelo +2 more
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On the stability of some stochastic integro partial differential equations
Stochastic integro partial differential equations of the form; du(x, t )= n i=1 ∂ 2 u(x, t) ∂x 2 dt + F (u(x, t) ,x , t)dt + t 0 K(t − θ)u(x, θ)dθdt +[ f (t)u(x, t )+ g(x, t)]dW (t), are considered, where {W (t ): t ≥ 0} is a standard one-dimensional Wiener process and the kernel K decreases to zero non-exponentially.
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