On a Problem for a Parabolic-Hyperbolic Equation with a Nonlinear Loaded Part

The existence and uniqueness theorems of the solution to the boundary-value problem for a parabolic-hyperbolic fractional-order equation with the gluing condition are proved. Keywords and phrases: fractional derivative, loaded equation, differential equation, integral equation. AMS Subject Classific...

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 275; no. 5; pp. 644 - 652
Main Author Abdullaev, O. Kh
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.10.2023
Springer
Springer Nature B.V
Subjects
Boundary value problems
Differential equations
Existence theorems
Mathematics
Mathematics and Statistics
Uniqueness theorems
fractional derivative
34K37
differential equation
integral equation
loaded equation
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ISSN1072-3374
1573-8795
DOI10.1007/s10958-023-06704-7

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Summary:The existence and uniqueness theorems of the solution to the boundary-value problem for a parabolic-hyperbolic fractional-order equation with the gluing condition are proved. Keywords and phrases: fractional derivative, loaded equation, differential equation, integral equation. AMS Subject Classification: 34K37
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06704-7