Results 21 to 30 of about 3,838,910 (187)
Cauchy Problems Associated with Certain Integro-Partial Differential Equations [PDF]
Journal of Integral Equations and Applications, 1994 Transmutations and quasi inner products are employed to developed solution representations for a class of initial value problems of the form \[ w_{tt} (x,y,t) = \{I_ x + P(D_ y)\} w(x,y,t), \quad w(x,y,0) = 0, \quad w_ t(x,y,0) = \varphi(x,y). \] Here \(t\) is the time variable and both \(x\) and \(y\) are space variables, \(I_ x\) is an integral ...
openaire +2 more sources
Journal of Function Spaces, 2022 This article focuses on finding the numerical solution of the nonlinear time–fractional partial integro–differential equation. For this purpose, we use the operational matrices based on Pell polynomials to approximate fractional Caputo derivative ...
M. Taghipour, H. Aminikhah
doaj +1 more source
A new perturbative technique for solving integro-partial differential equations [PDF]
Journal of Mathematical Physics, 1999 Integro-partial differential equations occur in many contexts in mathematical physics. Typical examples include time-dependent diffusion equations containing a parameter (e.g., the temperature) that depends on integrals of the unknown distribution function.
openaire +2 more sources
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 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
doaj +1 more source
A Finite Element Like Scheme for Integro-Partial Differential Hamilton–Jacobi–Bellman Equations [PDF]
SIAM Journal on Numerical Analysis, 2009 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
openaire +1 more source
Bounded and multiperiodic solutions of the system of partial integro-differential equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 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
doaj +1 more source
Integro-partial differential equations with singular terminal condition [PDF]
Nonlinear Analysis, 2017 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.
openaire +5 more sources
On The Semi-Analytical Solution of Integro-Partial Differential Equations
Energy Procedia, 2017 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.
Hasseine, Abdelmalek +3 more
openaire +1 more source
Axioms, 2020 The questions of the one-value solvability of an inverse boundary value problem for a mixed type integro-differential equation with Caputo operators of different fractional orders and spectral parameters are considered.
Tursun K. Yuldashev, Erkinjon T. Karimov
doaj +1 more source
Inverse problem for quazilinear partial integro-differential equations of higher order
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 A method of studying an inverse problem for the some classes of quasilinear partial integro-differential equation of the higher order is proposed. A theorem on the existence and uniqueness of the solution of this problem is proved.
A. I. Seredkina, T. K. Yuldashev
doaj +3 more sources