Maximum and Minimum Principles for the Generalized Fractional Diffusion Problem with a Scale Function-Dependent Derivative

DOI10.1007/978-3-319-45474-0_19zbMath1426.35226OpenAlexW2512466212WikidataQ60309256 ScholiaQ60309256MaRDI QIDQ5236987

Małgorzata Klimek, Kalina Kamińska

Publication date: 16 October 2019

Published in: Lecture Notes in Electrical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-45474-0_19

zbMATH Keywords

maximum principleminimum principlegeneralized diffusion equationfractional necessary condition for extremum existencescale function-dependent fractional derivatives

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Analysis of fractional diffusion equations of distributed order: maximum principles and their applications
• Numerical and analytical solutions of new generalized fractional diffusion equation
• Some generalized fractional calculus operators and their applications in integral equations
• Maximum principle for the generalized time-fractional diffusion equation
• Maximum principle and its application for the time-fractional diffusion equations
• Numerical solutions of fractional advection–diffusion equations with a kind of new generalized fractional derivative

This page was built for publication: Maximum and Minimum Principles for the Generalized Fractional Diffusion Problem with a Scale Function-Dependent Derivative