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Non-oscillatory Solutions of Higher-order Forced Nabla Fractional Difference Equations with Positive and Negative Terms
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  • Shyam Santra,
  • Said Grace,
  • Jagan Mohan Jonnalagadda,
  • Jehad Alzabut
Shyam Santra
University of Petroleum and Energy Studies

Corresponding Author:[email protected]

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Said Grace
Cairo University Faculty of Engineering
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Jagan Mohan Jonnalagadda
Birla Institute of Technology & Science Pilani - Hyderabad Campus
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Jehad Alzabut
Prince Sultan Military Medical City
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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.