Gellerstedt type problem for the loaded parabolic-hyperbolic type equation with Caputo and Erdelyi-Kober operators of fractional order

DOI10.3103/S1066369X20100047zbMath1465.35312OpenAlexW3101576506WikidataQ115488675 ScholiaQ115488675MaRDI QIDQ2027818

B. I. Islomov, Obidjon Khayrullayevich Abdullaev

Publication date: 28 May 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x20100047

zbMATH Keywords

Caputo derivativeuniqueness and existence of solutionintegral gluing conditionErdelyi-Kober integral operator

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Boundary value problems for PDEs of mixed type (35M12)

Related Items (5)

Nonlinear system of impulsive integro-differential equations with Hilfer fractional operator and mixed maxima ⋮ On a problem for the third order equation with parabolic-hyperbolic operator including a fractional derivative ⋮ Cauchy problem for a parabolic–hyperbolic equation with non‐characteristic line of type changing ⋮ Extension of the Tricomi problem for a loaded parabolic–hyperbolic equation with a characteristic line of change of type ⋮ A nonlocal problem with an integral matching condition for a loaded parabolic-hyperbolic equation with a fractional Caputo derivative

Cites Work

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• The Dirichlet problem for a loaded mixed-type equation in a rectangular domain
• On a non-local boundary problem for a parabolic-hyperbolic equation involving a Riemann-Liouville fractional differential operator
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A non-local problem with discontinuous matching condition for loaded mixed type equation involving the Caputo fractional derivative
• Solution of a boundary value problem for a fractional partial differential equation
• Solution of boundary value problems for the fractional diffusion equation by the Green function method
• Initial-boundary problem for parabolic-hyperbolic equation with loaded summands
• The fundamental solution of a diffusion-wave equation of fractional order
• Нелокальная задача для нагруженного уравнения смешанного типа с интегральным оператором
• Analog of the Gellerstedt problem for the mixed type equation with integral-differential operators of fractional order
• Solvability of an elliptic partial differential equation with boundary condition involving fractional derivatives

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