Discrete and Continuous Multiplicative Calculus and Applications: In: Mathematics, Geometry, Approximation Theory, Economics, Population, Medicine

This book introduces new computational methods for solving nonlinear difference, differential, and integral equations using non-Newtonian calculus (multiplicative calculus). Additionally, it presents other computational methods for solving linear and nonlinear difference equations using discrete multiplicative calculus. Finally, by generalizing and expanding Sturm-Liouville theory into multiplicative analysis, it offers a method for solving eigenvalue problems, including linear and nonlinear difference and differential equations with parameters.