DOAJ Open Access 2024

New Multiplicity Results for a Boundary Value Problem Involving a <i>ψ</i>-Caputo Fractional Derivative of a Function with Respect to Another Function

Yankai Li Dongping Li Fangqi Chen Xiangjing Liu

Abstrak

This paper considers a nonlinear impulsive fractional boundary value problem, which involves a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ψ</mi></semantics></math></inline-formula>-Caputo-type fractional derivative and integral. Combining critical point theory and fractional calculus properties, such as the semigroup laws, and relationships between the fractional integration and differentiation, new multiplicity results of infinitely many solutions are established depending on some simple algebraic conditions. Finally, examples are also presented, which show that Caputo-type fractional models can be more accurate by selecting different kernels for the fractional integral and derivative.

Topik & Kata Kunci

Thermodynamics Mathematics Analysis

Penulis (4)

Yankai Li

Dongping Li

Fangqi Chen

Xiangjing Liu

Format Sitasi

APA MLA BibTeX

Li, Y., Li, D., Chen, F., Liu, X. (2024). New Multiplicity Results for a Boundary Value Problem Involving a <i>ψ</i>-Caputo Fractional Derivative of a Function with Respect to Another Function. https://doi.org/10.3390/fractalfract8060305

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.3390/fractalfract8060305
Akses: Open Access ✓