The use of non-local operators, defining Riemann–Liouville or Caputo derivatives, is a very useful tool to study problems involving non-conventional diffusion problems. The case of electric circuits, ruled by non-integer derivatives or capacitors with fractional dielectric permittivity, is a fairly natural frame of relevant applications. We use techniques, involving generalized exponential operators, to obtain suitable solutions for this type of problems and eventually discuss specific problems in applications.
Antonini G., Dattoli G., Frezza F., Licciardi S., Loreto F. (2021). About the use of generalized forms of derivatives in the study of electromagnetic problems. APPLIED SCIENCES, 11(16), 7505 [10.3390/app11167505].
About the use of generalized forms of derivatives in the study of electromagnetic problems
Licciardi S.Writing – Review & Editing
;
2021-08-16
Abstract
The use of non-local operators, defining Riemann–Liouville or Caputo derivatives, is a very useful tool to study problems involving non-conventional diffusion problems. The case of electric circuits, ruled by non-integer derivatives or capacitors with fractional dielectric permittivity, is a fairly natural frame of relevant applications. We use techniques, involving generalized exponential operators, to obtain suitable solutions for this type of problems and eventually discuss specific problems in applications.
| File | Dimensione | Formato | |
|---|---|---|---|
|
Aquila.pdf
accesso aperto
Descrizione: Articolo su Rivista
Tipologia:
Versione Editoriale
Dimensione
1.71 MB
Formato
Adobe PDF
|
1.71 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
