Fractional <i>p</i>-Laplacian Equations with Sandwich Pairs
The main purpose of this paper was to consider new sandwich pairs and investigate the existence of a solution for a new class of fractional differential equations with <i>p</i>-Laplacian via variational methods in <inline-formula><math xmlns="http://www.w3.org/1998/Math/Mat...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/7/6/419 |
| Summary: | The main purpose of this paper was to consider new sandwich pairs and investigate the existence of a solution for a new class of fractional differential equations with <i>p</i>-Laplacian via variational methods in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ψ</mi></semantics></math></inline-formula>-fractional space <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mi mathvariant="double-struck">H</mi><mi>p</mi><mrow><mi>α</mi><mo>,</mo><mi>β</mi><mo>;</mo><mi>ψ</mi></mrow></msubsup><mrow><mo>(</mo><mi mathvariant="sans-serif">Ω</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>. The results obtained in this paper are the first to make use of the theory of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ψ</mi></semantics></math></inline-formula>-Hilfer fractional operators with <i>p</i>-Laplacian. |
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| ISSN: | 2504-3110 |