q-Fractional Calculus and Equations

This nine-chapter monograph introduces a rigorous investigation of q- difference operators in standard and fractional settings. It starts with elementary calculus of q- differences and integration of Jackson’s type before turning to q- difference equations. The existence and uniqueness theorems are derived using successive approximations, leading to systems of equations with retarded arguments. Regular  q- Sturm–Liouville theory is also introduced; Green’s function is constructed and t