Zobrazeno 1 - 10
of 88
pro vyhledávání: '"Karimov, Erkinjon"'
In this paper, we have introduced the Prabhakar fractional $q$-integral and $q$-differential operators. We first study the semi-group property of the Prabhakar fractional $q$-integral operator, which allowed us to introduce the corresponding $q$-diff
Externí odkaz:
http://arxiv.org/abs/2212.08843
To study the existence and uniqueness of solutions to Cauchy-type problems for fractional q-difference equations with the bi-ordinal Hilfer fractional q-derivative which is an extension of the Hilfer fractional q-derivative. An approach is based on t
Externí odkaz:
http://arxiv.org/abs/2212.07374
In this paper we explore the weak solution of a time-dependent inverse source problem and inverse initial problem for $q$-analogue of the heat equation. As an over-determination condition we have used integral type condition on space-variable (in the
Externí odkaz:
http://arxiv.org/abs/2212.07239
In this paper, we consider a nonlocal boundary-value problem for a mixed-type equation involving the bi-ordinal Hilfer fractional derivative in a rectangular domain. The main target of this work is to analyze the uniqueness and the existence of the s
Externí odkaz:
http://arxiv.org/abs/2106.13223
Publikováno v:
2022
While it is known that one can consider the Cauchy problem for evolution equations with Caputo derivatives, the situation for the initial value problems for the Riemann-Liouville derivatives is less understood. In this paper we propose new type initi
Externí odkaz:
http://arxiv.org/abs/2004.03530
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Autor:
Al-Salti, Nasser, Karimov, Erkinjon
In this paper, we investigate two inverse source problems for degenerate time-fractional partial differential equation in rectangular domains. The first problem involves a space-degenerate partial differential equation and the second one involves a t
Externí odkaz:
http://arxiv.org/abs/1905.00362
Autor:
Karimov, Erkinjon
Publikováno v:
Bulletin of the Institute of Mathematics, 2019, No 1, pp.19-26
In this work, The Tricomi type boundary problem with integral conjugation condition on the type-changing line for the mixed type equation with Hilfer fractional differential operator has been considered. Using method of integral equations, energy int
Externí odkaz:
http://arxiv.org/abs/1904.00258
Autor:
Pirnapasov, Sardor, Karimov, Erkinjon
In the present work we discuss higher order multi-term partial differential equation (PDE) with the Caputo-Fabrizio fractional derivative in time. We investigate a boundary value problem for fractional heat equation involving higher order Caputo-Fabr
Externí odkaz:
http://arxiv.org/abs/1708.05502
Publikováno v:
SQU Journal for Science, Vol.23, No. 2, (2018)
Initial value problem involving Atangana-Baleanu derivative is considered. An Explicit solution of the given problem is obtained by reducing the differential equation to Volterra integral equation of second kind and by using Laplace transform. To fin
Externí odkaz:
http://arxiv.org/abs/1706.00740