Non-oscillatory Solutions of Higher-order Forced Nabla Fractional
Difference Equations with Positive and Negative Terms
- Shyam Santra,
- Said Grace,
- Jagan Mohan Jonnalagadda,
- Jehad Alzabut
Jagan Mohan Jonnalagadda
Birla Institute of Technology & Science Pilani - Hyderabad Campus
Author ProfileAbstract
In this work, we obtain new sufficient conditions for the
non-oscillatory solutions of forced nabla fractional difference
equations with positive and negative terms. The results are developed in
sense of Caputo nabla fractional difference operator and by the help of
Young's inequality as well as an equivalent representation in form of a
Volterra-type summation equation. The results improve some existing
results in the literature. Further, two examples are presented to
support and illustrate the applicability of the deduced results.