In this work, we examine the existence and uniqueness(EU) of q-Exponential positive solution (q-EPS) of the hybrid q-fractional boundary value problem (q-FBVP). We prove the q-Exponential fixed point theorem (q-EFPT) with a new set $\rho_{h,e_{1}}$ in the Banach space E to check the EU of q-EPS of the q-FBVP. In the long run, an exemplum is given to show the correctness of our results.
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Gholami Bahnamiri, M. and Namaty, A. (2024). q-Exponential fixed point theorem for mixed monotone operator with q-fractional problem. Computational Methods for Differential Equations, 13(1), 73-94. doi: 10.22034/cmde.2024.58902.2496
MLA
Gholami Bahnamiri, M. , and Namaty, A. . "q-Exponential fixed point theorem for mixed monotone operator with q-fractional problem", Computational Methods for Differential Equations, 13, 1, 2024, 73-94. doi: 10.22034/cmde.2024.58902.2496
HARVARD
Gholami Bahnamiri, M., Namaty, A. (2024). 'q-Exponential fixed point theorem for mixed monotone operator with q-fractional problem', Computational Methods for Differential Equations, 13(1), pp. 73-94. doi: 10.22034/cmde.2024.58902.2496
CHICAGO
M. Gholami Bahnamiri and A. Namaty, "q-Exponential fixed point theorem for mixed monotone operator with q-fractional problem," Computational Methods for Differential Equations, 13 1 (2024): 73-94, doi: 10.22034/cmde.2024.58902.2496
VANCOUVER
Gholami Bahnamiri, M., Namaty, A. q-Exponential fixed point theorem for mixed monotone operator with q-fractional problem. Computational Methods for Differential Equations, 2024; 13(1): 73-94. doi: 10.22034/cmde.2024.58902.2496