Verwandte Artikel zu Fractional Differential Equations: Methods and Applications:...

Fractional Differential Equations: Methods and Applications: Second Edition - Softcover

Milici, Constantin; Draganescu, Gheorghe

 
9786209821981: Fractional Differential Equations: Methods and Applications: Second Edition

Inhaltsangabe

Fractional calculus, first introduced by G. W. Leibniz in 1695, has evolved from a purely theoretical concept to a powerful tool for modeling complex natural phenomena, including polymer mechanics, anomalous diffusion, dielectric relaxation, and fractional rheology. This handbook presents a new method for solving linear and nonlinear fractional differential equations, combining the Adomian decomposition method with Laplace transforms. Applicable to both ordinary and partial differential equations, the method provides analytic and numerical solutions. To validate the approach, it is first applied to integer-order differential equations with known solutions and then extended to fractional cases. Maple and Mathematica procedures are included to facilitate practical computations. Designed for researchers, engineers, and advanced students, this book bridges theory and application, offering a comprehensive guide to modern fractional calculus and its solutions.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Constantin Milici was a researcher at the Mathematics Institute of the Romanian Academy of Sciences, Timi¿oara, and a lecturer at the Polytechnic University of Timi¿oara (1965-2009). His research focused on number theory, functional equations, computer-assisted mathematics, and he authored monographs in calculus and linear algebra.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.