Year: 2026
Type: article
Abstract: This study investigates conformable electromagnetic field theory by incorporating the principles of conformable calculus. A novel concept, the conformable delta function, is introduced to extend the classical delta function within this framework. This function plays a crucial role in computing Poisson brackets. Building upon this foundation, the conformable Maxwell’s equations are derived, offering a more generalized approach to modeling electromagnetic phenomena, particularly in systems exhibiting non-integer order behavior. The results highlight the potential applications of conformable calculus in electrodynamics, providing new insights for both theoretical and applied research in physics and engineering. Moreover, the traditional Maxwell’s equations are recovered when $$ \alpha =1$$ α = 1 .
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W7128800156