On non-local problems for third order equation with Caputo operator and non-linear loaded part

DOI10.13108/2021-13-3-44zbMath1499.35430OpenAlexW3212518852MaRDI QIDQ5067176

Obidjon Khayrullayevich Abdullaev, B. I. Islomov

Publication date: 1 April 2022

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa576

zbMATH Keywords

nonlinear integral equationCaputo fractional derivativenonlinear loaded termparabolic-hyperbolic operatorintegral conjugate condition

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Fractional partial differential equations (35R11) Functional-differential equations with fractional derivatives (34K37)

Related Items (3)

A nonlocal boundary value problem with the Frankl condition for an equation of mixed parabolic-hyperbolic type with the fractional Gerasimov-Caputo operator ⋮ On the Adjoint Problem in a Domain with Deviation Out from the Characteristic for the Mixed Parabolic-Hyperbolic Equation with the Fractional Order Operator ⋮ On a spectral problem for the Cauchy-Riemann operator with boundary conditions of the Bitsadze-Samarskii type

Cites Work

• Travelling waves for integro-differential equations in population dynamics
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• Loaded complex equations in the jet collision problem
• Boundary‐value problems for the third‐order loaded equation with noncharacteristic type‐change boundaries
• Solvability of a non-local problem with integral gluing condition for mixed type equation with Erdelyi-Kober operators
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