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On a Method of Solution of Systems of Fractional Pseudo-Differential Equations [PDF]
Fractional Calculus and Applied Analysis, 2021 This paper is devoted to the general theory of linear systems of fractional order pseudo-differential equations. Single fractional order differential and pseudo-differential equations are studied by many authors and several monographs and handbooks have been published devoted to its theory and applications.
Ravshan Ashurov, Yangquan Chen
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On Discrete Solutions for Elliptic Pseudo-Differential Equations [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 We consider discrete analogue for simplest boundary value problem for elliptic pseudo-differential equation in a half-space with Dirichlet boundary condition in Sobolev–Slobodetskii spaces. Based on the theory of discrete boundary value problems
O.A. Tarasova +2 more
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Pseudo-differential operators and equations in a discrete half-space
Mathematical Modelling and Analysis, 2018 We introduce a digital pseudo-differential operator acting in discrete Sobolev--Slobodetskii spaces and consider pseudo-differential equations with such operators in a discrete half-space.
Alexander V. Vasilyev +1 more
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Fuzzy Differential Equations in Pseudo BH-algebra
Journal of Kufa for Mathematics and Computer, 2022 We introduce the notions of an algebra-BH , Fuzzy of an algebra-BH , Pseudo algebra-BH , Solve Differential Equations in pseudo BH-algebra , Solve Differential Equations in fuzzy pseudo BH-algebra .
Abbas AL-asdi +2 more
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On dissipative nonlinear evolutional pseudo-differential equations [PDF]
Applied and Computational Harmonic Analysis, 2020 39 ...
Chen, Mingjuan +3 more
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A STUDY OF PSEUDO SPECTRAL GALERKIN METHOD FOR SOLVING DIFFERENTIAL EQUATIONS [PDF]
Engineering Heritage Journal, 2020 Differential equations have a remarkable potential to exhibit real life phenomenon. Many methods have been developed to solve these differential equations, though only a few stands with time.
Qura Tul Ain +3 more
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Journal of Harbin University of Science and Technology, 2020 Differential equations are a kind of mathematical models which have been established to solve all kinds of practical problems The existence problems of various solutions for differential equations are a main research direction Pseudo almost automorphic ...
YAO Huili +3 more
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Abstract and Applied Analysis, 2022 The primary aim of this work is to introduce a new class of functions called μ-ω,c-pseudo-almost periodic functions. Using the measure theory, we generalize in a natural way some recent works and study some properties of those μ-ω,c-pseudo-almost ...
James Larrouy, Gaston M. N’Guérékata
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On local solvability of pseudo-differential equations [PDF]
Proceedings of the American Mathematical Society, 1974 A sufficient condition for the local solvability of the equation u,-A(x, t, D,)u=f(x, t) is proved, where A is a first order pseudo-differential operator with real symbol. This is a special case of the local solvability conjecture of Nirenberg and Treves. Introduction.
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Frames of solutions and discrete analysis of pseudo‐differential equations
Mathematical Methods in the Applied Sciences, 2022 We construct discrete analogs of multidimensional singular integral operators and study their invertibility. Moreover, we give a comparison between continual and discrete case. We give the theory of periodic Riemann problem also, because it is needed for studying invertibility of so‐called paired equations.
Alexander V. Vasilyev +2 more
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