Existence property of solutions for multi-order <em>q</em>-difference FBVPs based on condensing operators and end-point technique



	Existence property of solutions for multi-order q-difference FBVPs based on condensing operators and end-point technique


	Fixed Point Theory, Volume 25, No. 1, 2024, 115-142, February 1st, 2024 DOI: 10.24193/fpt-ro.2024.1.08 Authors: Sina Etemad, Maria Alessandra Ragusa, Shahram Rezapour and Akbar Zada Abstract: In this research study, we formulate two generalized nonlinear multi-order fractional boundary value problems with the help of quantum difference operators. To investigate the existence property for possible solutions of these q-difference FBVPs, we apply two separate methods motivated by some notions in relation to the measure of noncompactness and end-point technique. The condensing functions and multifunctions having the (AE)-property play an important role in our study. As well as, two examples corresponding to both techniques are provided to ensure the compatibility of the findings numerically. Key Words and Phrases: q-difference FBVP, boundary value problem, endpoint, condensing operators, fixed point. 2010 Mathematics Subject Classification: 34A08, 39A12, 39A13, 47H10. Published on-line: February 1st, 2024. Fulltext pdf Back to volume's table of contents