The main objective of this book is to extend the scope of the q-calculus based on the definition of q-derivative Jackson (1910)] to make it applicable to dense domains. As a matter of fact, Jackson's definition of q-derivative fails to work for impulse points while this situation does not arise for impulsive equations on q-time scales as the domains consist of isolated points covering the case of consecutive points. In precise terms, we study quantum calculus on finite intervals.In the first part, we discuss the concepts of qk-derivative and qk-integral, and establish...
The main objective of this book is to extend the scope of the q-calculus based on the definition of q-derivative Jackson (1910)] to make it applicabl...
