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.
16-ago-2021
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/614274
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