Author/Authors :
Younus, A Centre for Advanced Studies in Pure and Applied Mathematics - Bahauddin Zakariya University, Multan, Pakistan , Asif, M Centre for Advanced Studies in Pure and Applied Mathematics - Bahauddin Zakariya University, Multan, Pakistan , Farhad, K Centre for Advanced Studies in Pure and Applied Mathematics - Bahauddin Zakariya University, Multan, Pakistan , Nisar, O Centre for Advanced Studies in Pure and Applied Mathematics - Bahauddin Zakariya University, Multan, Pakistan
Abstract :
By using an efficient partial order and concept of gH-differentiability on interval-valued functions, we investigate some
new variants of Gronwall type inequalities on time scales, which provide explicit bounds on unknown functions. Our
results not only unify and extend some continuous inequalities, but also in discrete case, all are new.
Keywords :
Gronwall inequality , dynamic inequality , generalized Hukuhara difference , Interval-valued functions
