Frankl-Type Problem for a Mixed Type Equation with the Caputo Fractional Derivative

Frankl-Type Problem for a Mixed Type Equation with the Caputo Fractional Derivative

In this work, we investigate Frankl-type problem with integral conjugating condition for a mixed type equation consisting of sub-diffusion and wave equations. A uniqueness and the existence of formulated problem have been proved using energy integrals and the method of integral equations, imposing c...

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Veröffentlicht in:Lobachevskii journal of mathematics 2020-09, Vol.41 (9), p.1829-1836
1. Verfasser: Karimov, E. T.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Derivatives
Geometry
Integral equations
Integrals
Mathematical analysis
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Wave equations
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Beschreibung
Zusammenfassung:In this work, we investigate Frankl-type problem with integral conjugating condition for a mixed type equation consisting of sub-diffusion and wave equations. A uniqueness and the existence of formulated problem have been proved using energy integrals and the method of integral equations, imposing certain conditions on given data.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080220090152