scientific article; zbMATH DE number 5044560
From MaRDI portal
Publication:5481193
zbMath1193.35245MaRDI QIDQ5481193
Publication date: 8 August 2006
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
integral transformsfractional calculusfractional differential equationsWright functionderivatives of continual order
Fundamental solutions to PDEs (35A08) Fractional derivatives and integrals (26A33) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Mittag-Leffler functions and generalizations (33E12) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Fractional partial differential equations (35R11)
Related Items (only showing first 100 items - show all)
Задача со смещением для одного уравнения с частной дробной производной ⋮ Фундаментальное решение модельного уравнения аномальной диффузии дробного порядка ⋮ О нелокальной задаче с дробной производной Римана-Лиувилля для уравнения смешанного типа ⋮ Boundary value problems for a first orderpartial differential equation with the Dzhrbashyan - Nersesyan operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The Time-fractional Airy Equation on the Metric Graph ⋮ Unnamed Item ⋮ On the backward problems in time for time-fractional subdiffusion equations ⋮ Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation ⋮ DETERMINATION OF FRACTIONAL ORDER AND SOURCE TERM IN SUBDIFFUSION EQUATIONS ⋮ Boundary‐value problems for the third‐order loaded equation with noncharacteristic type‐change boundaries ⋮ On solvabilityof some classes of equations with Hilfer derivative in Banach spaces ⋮ Generalized boundary problemfor an ordinary differential equation of fractional order ⋮ Unnamed Item ⋮ Nonlocal solvability of quasilinear degenerate equations with Gerasimov-Caputo derivatives ⋮ Fourier problem for fractional diffusion-wave equation ⋮ On solvability of the non-local problem for the fractional mixed-type equation with Bessel operator ⋮ On the uniqueness of solutions of two inverse problems for the subdiffusion equation ⋮ Generalized Sturm problem for a linear fractional differential equation ⋮ D'Alembert formula for diffusion-wave equation ⋮ Towards to solution of the fractional Takagi-Taupin equations. The Green function method ⋮ Strongly continuous resolving families of operators for equations with a fractional derivative ⋮ On a boundary value problem for a third-order equation of parabolic-hyperbolic type with a fractional order operator ⋮ Quasilinear equations with a sectorial set of operators at Gerasimov-Caputo derivatives ⋮ UNIQUE SOLVABILITY OF IBVP FOR PSEUDO-SUBDIFFUSION EQUATION WITH HILFER FRACTIONAL DERIVATIVE ON A METRIC GRAPH ⋮ Naimark problem for a fractional ordinary differential equation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Inverse problem for a third-order parabolic-hyperbolic equation involves fractional derivatives ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Inverse coefficient problem for a fractional-diffusion equation with a Bessel operator ⋮ НАЧАЛЬНАЯ ЗАДАЧА ДЛЯ ОБЫКНОВЕННОГО ДИФФЕРЕНЦИАЛЬНОГО УРАВНЕНИЯ ВТОРОГО ПОРЯДКА С ОПЕРАТОРОМ РАСПРЕДЕЛЕННОГО ДИФФЕРЕНЦИРОВАНИЯ ⋮ Unnamed Item ⋮ Boundary value problem for a loaded fractional diffusion equation ⋮ Extension of the Tricomi problem for a loaded parabolic–hyperbolic equation with a characteristic line of change of type ⋮ An analog of the Tricomi problem for a mixed-type equation with fractional derivative. Inverse problems ⋮ Linear equations with distributed Riemann-Liouville derivatives given by Stieltjes integrals and their analytic resolving families of operators ⋮ Time-dependent source identification problem for a fractional Schrödinger equation with the Riemann-Liouville derivative ⋮ Transmutation operators for eigenfunctions of certain differentiation operators and their fractional powers ⋮ Mixed problem for higher-order equations with fractional derivative and degeneration in both variables ⋮ Solvability and Volterra property of nonlocal problems for mixed fractional-order diffusion-wave equation ⋮ Multi-term equations with Riemann-Liouville derivatives and Hölder type function spaces ⋮ Dirichlet problems for mixed-type equations with fractional derivatives ⋮ Solvability of the boundary‐value problem for a mixed equation involving hyper‐Bessel fractional differential operator and bi‐ordinal Hilfer fractional derivative ⋮ On a problem for a parabolic-hyperbolic equation with a nonlinear loaded part ⋮ Nonlocal boundary value problem for a mixed type equation with fractional partial derivative ⋮ Initial value problems for some classes of linear evolution equations with several fractional derivatives ⋮ An Inverse Source Non-local Problem for a Mixed Type Equation with a Caputo Fractional Differential Operator ⋮ The first boundary-value problem for a fractional diffusion-wave equation in a non-cylindrical domain ⋮ Boundary Value Problem for the Time-Fractional Telegraph Equation with Caputo Derivatives ⋮ Non-local Boundary Problem with Integral Form Transmitting Condition for Fractional Mixed Type Equation in a Composite Domain ⋮ A Class of Initial Value Problems for Distributed Order Equations with a Bounded Operator ⋮ Unnamed Item ⋮ On a local solvability of the multidimensional Muskat problem with a fractional derivative in time on the boundary condition ⋮ Time-fractional diffusion equation with dynamical boundary condition ⋮ Solvability of a linear system with a nonlocal term in a boundary condition ⋮ Dirichlet boundary value problem for Aller - Lykov moisture transfer equation with fractional derivative in time ⋮ Distributed Order Equations in Banach Spaces with Sectorial Operators ⋮ ON BOUNDARY VALUE PROBLEM FOR GENERALIZED ALLER EQUATION ⋮ A class of distributed order semilinear equationsin Banach spaces ⋮ Unnamed Item ⋮ О задаче для уравнения смешанного типа с операторами М. Сайго ⋮ Задача Коши для уравнения параболического типа с оператором Бесселя и частной производной Римана-Лиувилля ⋮ Групповая классификация одного нелинейного приближенного уравнения субдиффузии ⋮ Об одной задаче для уравнения смешанного типа с частной дробной производной Римана-Лиувилля ⋮ Approximation of ordinary fractional differential equations by differential equations with a small parameter ⋮ О задаче со смещением для одного уравнения в частных производных ⋮ The second boundary value problem in a half-strip for a B-parabolic equation with the Gerasimov–Caputo time derivative ⋮ Вторая краевая задача для обобщенного уравнения влагопереноса Аллера-Лыкова ⋮ Решение в явном виде нелокальной задачи для дифференциального уравнения с частной дробной производной Римана - Лиувилля ⋮ Об одной задаче для уравнения параболо-гиперболического типа дробного порядка с нелинейной нагруженной частью ⋮ Anomalous Diffusion: Models, Their Analysis, and Interpretation ⋮ К проблеме единственности решения задачи Коши для уравнения дробной диффузии с оператором Бесселя ⋮ Unnamed Item ⋮ Первая краевая задача в прямоугольной области для дифференциального уравнения с оператором Бесселя и частной производной Римана-Лиувилля ⋮ Initial-boundary value and inverse problems for subdiffusion equations in ℝ^N ⋮ Restoration of the Initial Data in the Problem for a Diffusion Equation with Fractional Derivative with Respect to Time ⋮ A subdiffusive Navier-Stokes-Voigt system ⋮ Mixed problem for a system of fractional partial differential equations ⋮ Solvability of linear boundary value problems for subdiffusion equations with memory ⋮ A non-local problem with discontinuous matching condition for loaded mixed type equation involving the Caputo fractional derivative ⋮ On a nonlocal boundary value problem for a degenerate parabolic-hyperbolic equation with fractional derivative ⋮ On a problem for the third order equation with parabolic-hyperbolic operator including a fractional derivative ⋮ Solutions of the main boundary value problems for a loaded second-order parabolic equation with constant coefficients ⋮ Boundary-value problem for the Aller-Lykov nonlocal moisture transfer equation ⋮ Green function of the first boundary-value problem for the fractional diffusion-wave equation in a multidimensional rectangular domain ⋮ The Hele-Shaw problem with surface tension in the case of subdiffusion ⋮ First boundary-value problem in the half-strip for a parabolic-type equation with Bessel operator and Riemann-Liouville derivative ⋮ The Goursat problem for the fractional telegraph equation with Caputo derivatives ⋮ Construction of partial solutions using special functions for equations with fractional derivative ⋮ The Dirichlet problem for an ordinary continuous second-order differential equation ⋮ Fractional integro-differential calculus and its control-theoretical applications. II. fractional dynamic systems: modeling and hardware implementation
This page was built for publication:
