Solution of a Boundary Value Problem for a Fractional Partial Differential Equation

Pskhu, A. V.

doi:10.1023/b:dieq.0000011289.79263.02

Cited by 35 publications

(36 citation statements)

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“…The properties of Wright functions φ(−α, δ, z) are described in detail, for example, in [19,20,7]. We put conventionally in (1.10) that…”

Section: Hölder Spaces and The Main Resultsmentioning

confidence: 99%

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Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion

Krasnoschok¹

2016

Z. mat. fiz. anal. geom.

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“…The properties of Wright functions φ(−α, δ, z) are described in detail, for example, in [19,20,7]. We put conventionally in (1.10) that…”

Section: Hölder Spaces and The Main Resultsmentioning

confidence: 99%

“…follows immediately from Lemmas 2, 3 in [19], and thus inequality (2.9) for δ / ∈ N 0 is proved. For δ ∈ N 0, we use the formula (see (2.2.5) in [20])…”

Section: Hölder Spaces and The Main Resultsmentioning

confidence: 99%

Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion

Krasnoschok¹

2016

Z. mat. fiz. anal. geom.

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“…Using these derivatives, we can define the fractional derivatives of uniform distributed orders. The fractional integration, which is inversed to the continual fractional derivative has been proposed by Pskhu, A. V. (2004Pskhu, A. V. ( , 2005. This fractional integral can be defined by the equation…”

Section: Multiplier With Uniform Distributed and Non-singular Distribmentioning

confidence: 99%

Accelerator and Multiplier for Macroeconomic Processes with Memory

Tarasova

2017

IRAJMSS

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“…В работах [6] и [7] доказаны теоремы существования и единственности регулярного в прямоугольной области решения краевой задачи для уравнения…”

Section: Introductionunclassified

Boundary value problem for a multidinensional system of equations with Riemann–Liouvile fractional derivatives

Мамчуев¹

2019

Sib. Elektron. Mat. Izv.

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In the paper а boundary-value problem for a multidimensional system of partial differential equations with fractional derivatives in Riemann-Liouville sense with constant coefficients is studied in a rectangular domain. The existence and uniqueness theorem for the solution of the boundary value problem is proved. The solution is constructed in explicit form in terms of the Wright function of the matrix argument.

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Solution of a Boundary Value Problem for a Fractional Partial Differential Equation

Cited by 35 publications

References 1 publication

Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion

Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion

Accelerator and Multiplier for Macroeconomic Processes with Memory

Boundary value problem for a multidinensional system of equations with Riemann–Liouvile fractional derivatives

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