Manigandan, Murugesan, Subramanian, Muthaiah, Nandha Gopal, Thangaraj, Unyong, Bundit. (1401). Existence of solutions for Caputo sequential fractional differential equations with integral boundary conditions. هنرهای کاربردی, 14(1), 3045-3061. doi: 10.22075/ijnaa.2022.26001.3186
Murugesan Manigandan; Muthaiah Subramanian; Thangaraj Nandha Gopal; Bundit Unyong. "Existence of solutions for Caputo sequential fractional differential equations with integral boundary conditions". هنرهای کاربردی, 14, 1, 1401, 3045-3061. doi: 10.22075/ijnaa.2022.26001.3186
Manigandan, Murugesan, Subramanian, Muthaiah, Nandha Gopal, Thangaraj, Unyong, Bundit. (1401). 'Existence of solutions for Caputo sequential fractional differential equations with integral boundary conditions', هنرهای کاربردی, 14(1), pp. 3045-3061. doi: 10.22075/ijnaa.2022.26001.3186
Manigandan, Murugesan, Subramanian, Muthaiah, Nandha Gopal, Thangaraj, Unyong, Bundit. Existence of solutions for Caputo sequential fractional differential equations with integral boundary conditions. هنرهای کاربردی, 1401; 14(1): 3045-3061. doi: 10.22075/ijnaa.2022.26001.3186

Existence of solutions for Caputo sequential fractional differential equations with integral boundary conditions

International Journal of Nonlinear Analysis and Applications
مقاله 237، دوره 14، شماره 1، فروردین 2023، صفحه 3045-3061    اصل مقاله (487.88 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26001.3186
نویسندگان
Murugesan Manigandan1؛ Muthaiah Subramanian2؛ Thangaraj Nandha Gopal1؛ Bundit Unyong* 3
1Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore - 641 020, Tamilnadu, India
2Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore - 641 407, Tamilnadu, India
3Department of Mathematics, Phuket Rajabhat University, Phuket - 83000, Thailand
چکیده
The purpose of this paper is to investigate the existence and uniqueness of solutions to the Caputo sequential fractional differential equations and inclusions with integral boundary conditions. When it comes to proving the existence of solutions, the Krasnoselskii's fixed point theorem is employed. Further, the Banach's contraction principle and the Leray-Schauder alternative are employed to prove the uniqueness of the results. Further, for the multi-valued case, we employ the nonlinear alternative for Kakutani maps, and Convitz and Nadler's fixed point theorem. We emphasize our results with numerical examples.
کلیدواژه‌ها
Fractional Differential Equations (FDEs)؛ Fractional Differential Inclusions؛ Existence؛ Integral boundary conditions (IBCs)؛ Fixed point
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