Ray Expansions and Identities for Second Order Equations. Applications to Inverse Problems
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-018-3809-x
Abstract: We develop a new method for studying inverse problems of mathematical physics by using systems of equations of ray expansion of solutions to parabolic and hyperbolic equations with variable coefficients. read more here.
Keywords: second order; expansions identities; order equations; ray expansions ... See more keywords
Numerical simulations for fractional variable-order equations ⁎ ⁎The work was supported by Polish founds of National Science Center, granted on the basis of decision DEC-2016/23/B/ST7/03686.
Sign Up to like & getrecommendations! Published in 2018 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2018.06.122
Abstract: Abstract The objective of the paper is to present the method of fitting finding constant λ coefficient and a parameter of an order function of the processes described by variable-, fractional-order backward difference of the… read more here.
Keywords: simulations fractional; order; order equations; numerical simulations ... See more keywords
On a Method of Studying Identification Problems for Second Order Equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Applied and Industrial Mathematics"
DOI: 10.1134/s1990478919010022
Abstract: Some method is proposed for studying the identification problems for second-order equations of evolutionary type, in particular, parabolic.We give the new representations of solutions and coefficients of such type of equations using integral transformations. read more here.
Keywords: order equations; studying identification; identification problems; problems second ... See more keywords
ON FUZZY PARTIAL FRACTIONAL ORDER EQUATIONS UNDER FUZZIFIED CONDITIONS
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DOI: 10.1142/s0218348x22400254
Abstract: This paper is devoted to investigating or computing the solution to one-dimensional partial fuzzy fractional order heat equation. In particular, one-dimensional fuzzy partial heat equation is hybridized into two equations by hybrid techniques along with… read more here.
Keywords: fuzzy partial; order; fractional order; order equations ... See more keywords