Frankl-type problem for a mixed type equation with the Caputo fractional derivative

DOI10.1134/S1995080220090152zbMath1452.35109OpenAlexW3102072267MaRDI QIDQ2211396

Yanyan Li

Publication date: 11 November 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080220090152

zbMATH Keywords

Fredholm integral equationsCaputo derivativeintegral conjugating condition

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Fractional partial differential equations (35R11)

Related Items (8)

Nonlinear system of impulsive integro-differential equations with Hilfer fractional operator and mixed maxima ⋮ On a mixed problem for Hilfer type fractional differential equation with degeneration ⋮ Inverse coefficient problem for a time-fractional diffusion equation in the bounded domain ⋮ Complex powers of fractional sectorial operators and quasilinear equations with Riemann-Liouville derivatives ⋮ Generalized Sturm problem for a linear fractional differential equation ⋮ On a boundary value problem for a third-order equation of parabolic-hyperbolic type with a fractional order operator ⋮ Inverse problem for a third-order parabolic-hyperbolic equation involves fractional derivatives ⋮ Existence results of self-similar solutions of the space-fractional diffusion equation involving the generalized Riesz-Caputo fractional derivative

Cites Work

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• Closed form of the solutions of some boundary-value problems for anomalous diffusion equation with Hilfer's generalized derivative
• On a Frankl-type problem for a mixed parabolic-hyperbolic equation
• Solvability of a non-local problem with integral transmitting condition for mixed type equation with Caputo fractional derivative
• Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative
• Unique solvability of a non‐local problem for mixed‐type equation with fractional derivative

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