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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A Finite Element Like Scheme for Integro-Partial Differential Hamilton–Jacobi–Bellman Equations [PDF]
We construct a finite element like scheme for fully nonlinear integro-partial differential equations arising in optimal control of jump-processes. Special cases of these equations include optimal portfolio and option pricing equations in finance. The schemes are monotone and robust.
Fabio Camilli, Espen R. Jakobsen
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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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Solvability of Some Types for Multi-fractional Integro-Partial Differential Equation
In this article, the solvability of some proposal types of the multi-fractional integro-partial differential system has been discussed in details by using the concept of abstract Cauchy problem and certain semigroup operators and some necessary and sufficient conditions.
Ali Kadhim Jabbar, Sameer Qasim Hasan
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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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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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