Chevala Janardhan, research scholar, School of Mathematics and Statistics, University of Hyderabad, working under the supervision of Prof. Sachin Bhalekar secured the first rank in the oral presentation on the topic ” Stability Analysis of Higher Order Fractional Difference Equations” in the “International Conference on Developments in Physical Sciences, Mathematical Sciences and Computational Sciences (ICDPSMSCS-2026)” held at Rajarshi Shahu Mahavidyalaya, Latur (Maharashtra) during 16th & 17th March, 2026. Mr. Janardhan is carrying out research in Fractional Calculus and is working on “Analysis of some classes of Fractional Order Difference Equations”.

The conference was organised jointly by the Departments of Physics & Electronics, Mathematics and Computer Science of Rajarshi Shahu Mahavidyalaya. The event was supported by the Pradhan Mantri Uchchatar Shiksha Abhiyan (PM-USHA), which is a Centrally Sponsored Scheme launched by the Ministry of Education to improve state higher education institutions.

Rajarshi Shahu Mahavidyalaya, established in 1970, is affiliated with Swami Ramanand Teerth Marathwada University, Nanded and holds NAAC ‘A+’ grade with a 3.49 CGPA.

Fractional difference equations provide a flexible mathematical framework for modelling complex systems with memory, hereditary, and non-local effects. In this work, Chevala and Bhalekar studied the stability of higher-order two-term fractional linear difference equations. The stability results are derived, and the bifurcations are analysed for various parameter values.

The full-text of the article is available as an Arxiv preprint at https://arxiv.org/abs/2603.23090