Applications of Piecewise Defined Fractional Operators Paperback / softback
by Abdon (Academic Head, Department and Professor of Applied Mathematics, University of the F Atangana, Seda Igret (Assistant Professor of Mathematics, Department of Mathematics, Siirt University, S Araz
Part of the Advanced Studies in Complex Systems series
Paperback / softback
Description
Applications of Piecewise Defined Fractional Operators, Volume Two introduces new mathematical methods to derive complex modeling solutions with stability, consistency, and convergence.
These tools include new types of non-local derivatives and integrals, such as fractal-fractional derivatives and integrals.
Drs. Atangana and Araz present the theoretical and numerical analyses of newly introduced piecewise differential and integral operators where crossover behaviors are observed, along with applications.
The book contains foundational concepts that will help readers better understand piecewise differential and integral calculus and their applications to modeling processes.
Concepts are applied to heat transfer, groundwater transport, groundwater flow, telegraph dynamics, heart rhythm, and others.
Applying principles introduced in the first volume, new numerical schemes are introduced to derive numerical solutions to these new equations, and the stability, consistency, and convergence analysis of these new numerical approaches are presented.
Information
-
Pre-Order
- Format:Paperback / softback
- Pages:260 pages
- Publisher:Elsevier Science & Technology
- Publication Date:01/07/2024
- Category:
- ISBN:9780443221309
Information
-
Pre-Order
- Format:Paperback / softback
- Pages:260 pages
- Publisher:Elsevier Science & Technology
- Publication Date:01/07/2024
- Category:
- ISBN:9780443221309
