EXTREMAL POINTS FOR A -TYPE RIEMANN-LIOUVILLE FRACTIONAL-ORDER BOUNDARY VALUE PROBLEMS

The main objective of this work is to use the Krein-Rutman theorem to characterize extremal points for a (n, [??])-type Riemann-Liouville fractional-order boundary value problem. The key premise is that a mapping from a linear, compact operator to its spectral radius, which depends on [??], is conti...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 14; no. 1; p. 247
Main Author Krushna, B.M.B
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2024
Elman Hasanoglu
Subjects
Boundary value problems
Differential equations
Eigenvalues
Linear operators
Mathematics
Operators (mathematics)
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Summary:The main objective of this work is to use the Krein-Rutman theorem to characterize extremal points for a (n, [??])-type Riemann-Liouville fractional-order boundary value problem. The key premise is that a mapping from a linear, compact operator to its spectral radius, which depends on [??], is continuous and strictly increasing as a function of [??]. A nonlinear problem is also treated as an application of the result for the linear case's extremal point. Keywords: Fractional derivative, Boundary value problem, Extremal point. AMS Subject Classification: 26A33, 34B08, 47A30.
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content type line 14
ISSN:2146-1147
2146-1147