QUANTUM CALCULUS: NEW CONCEPTS, IMPULSIVE, IVPS, BVPS, INEQU: New Concepts, Impulsive IVPs and BVPs, Inequalities
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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 fir...























