q-Exponential fixed point theorem for mixed monotone operator with q-fractional problem

Gholami Bahnamiri, Masoumeh; Namaty, Abdolali

doi:10.22034/cmde.2024.58902.2496

فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری

تعداد نشریات	45
تعداد شماره‌ها	1,360
تعداد مقالات	16,663
تعداد مشاهده مقاله	53,905,865
تعداد دریافت فایل اصل مقاله	16,527,113

	q-Exponential fixed point theorem for mixed monotone operator with q-fractional problem
Computational Methods for Differential Equations
مقاله 6، دوره 13، شماره 1، فروردین 2025، صفحه 73-94 اصل مقاله (392.08 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.58902.2496
نویسندگان
Masoumeh Gholami Bahnamiri^* ؛ Abdolali Namaty
University of Mazandaran, Babolsar, Iran.
چکیده
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.
کلیدواژه‌ها
q-Derivative؛ Positive solution؛ Mixed monotone operator؛ q-Integral؛ q-Exponential fixed point theorem

مراجع
[1] A. Boutiara and M. Benbachir, Existence and uniqueness results to a fractional q-difference coupled system with integral boundary conditions via topological degree theory, Int. J. Nonlinear Anal. Appl,13(1) (2022), 3197-3211. [2] T. Ernst, A comprehensive treatment of q-calculus, Springer Basel Heidelberg New york Dordrecht London, (2012). [3] M. Gholami and A. Neamaty, λ-fixed point theorem with kinds of functions of mixed monotone operator, Journal of Applied Analysis and Computation, 13(4), (2023). [4] A. A. Kilbas, H. M. Srivastava, and J. J. Trujillo, Theory and applications of fractional differential equations, Elsevier, Elsevier B. v. Amsterdam, (2006). [5] Y. Liu, C. Yan, and W. Jiang, Existence of the unique nontrivial solution for mixed fractional differential equations, Journal of Function Spaces. [6] I. Podlubny, Fractional differential equations, Mathematics in Science and Engineering, Academic Press, New York. (1999). [7] P. M. Rajkovic, S. D. Marinkovic, and M. S. Stankovic, Fractional integrals and derivatives in q-calculus, Applicable Analysis and Discrete Mathematics, (2007), 311–323. [8] Y. Sang, L. U. He, Y. L. Wang, Y. Ren, and N. Shi, Existence of positive solutions for a class of fractional differential equations with the derivative term via a new fixed point theorem, Advances in Difference Equations. [9] Y. Sang and Y. Ren, Nonlinear sum operator equations and applications to elastic beam equation and fractional differential equation, Boundary Value Problems. [10] J. J. Tan and C. Cheng, Fractional boundary value problems with Riemann-Liouville fractional derivatives, Advances in Difference Equations. [11] C. Zhai, Fixed point theorems for a class of mixed monotone operators with convexity, Fixed Point Theory and Applications. [12] C. Zhai and L. Wang, ϕ-(h,e)-concave operators and applications, Journal of Mathematical Analysis and Applications, 4 (2017), 571–584.
آمار تعداد مشاهده مقاله: 116 تعداد دریافت فایل اصل مقاله: 251

سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب

پیوندهای مفید

آمار

q-Exponential fixed point theorem for mixed monotone operator with q-fractional problem