Some applications and maximum principles for multi-term time-space fractional parabolic Monge-Ampère equation

• Autorzy: Guan Tingting , Wang Guotao , Araci Serkan

Identyfikatory

DOI

10.1515/dema-2024-0031

• Języki publikacji: EN

Abstrakty

EN

This study first establishes several maximum and minimum principles involving the nonlocal Monge-Ampère operator and the multi-term time-space fractional Caputo-Fabrizio derivative. Based on the maximum principle established above, on the one hand, we show that a family of multi-term time-space fractional parabolic Monge-Ampère equations has at most one solution; on the other hand, we establish some comparison principles of linear and nonlinear multi-term time-space fractional parabolic Monge-Ampère equations.

Słowa kluczowe

EN

nonlocal Monge-Ampère operator; multi-term time-space parabolic equations; fractional Caputo-Fabrizio derivative; maximum and minimum principles

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20240031
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Guan Tingting

• School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan, Shanxi 030031, China

autor

Wang Guotao

• School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan, Shanxi 030031, China
• Department of Technical Sciences, Western Caspian University, Baku 1001, Azerbaijan

autor

Araci Serkan

• Department of Basic Sciences, Faculty of Engineering, Hasan Kalyoncu University, TR-27010 Gaziantep, Turkey

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2026).