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Twin positive solutions to the RL-type nonlinear FBVPs with $p$-Laplacian operator | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 21، دوره 14، شماره 12، اسفند 2023، صفحه 263-274 اصل مقاله (424.05 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.26331.3296 | ||
| نویسندگان | ||
| Boddu Muralee Bala Krushna* 1؛ Kapula Rajendra Prasad2 | ||
| 1Department of Mathematics, MVGR College of Engineering, Vizianagaram, 535 005, India | ||
| 2Department of Applied Mathematics, Andhra University, Visakhapatnam, 530 003, India | ||
| تاریخ دریافت: 27 بهمن 1400، تاریخ بازنگری: 21 دی 1401، تاریخ پذیرش: 29 فروردین 1402 | ||
| چکیده | ||
| In this work, we establish the existence of at least two positive solutions for a coupled system of $p$-Laplacian fractional-order boundary value problems. Establishing the existence of positive solutions to the problem is challenging for a variety of reasons, the most important of which is a lack of compatibility with the kernel. To address these issues, we have included the necessary conditions for overcoming certain methodological hurdles on the kernel as well as adapting to the problem's nature of positivity. The method is based on the AH functional fixed point theorem. | ||
| کلیدواژهها | ||
| Fractional derivative؛ boundary value problem؛ $p$-Laplacian؛ Integral equation؛ Kernel؛ positive solution | ||
| مراجع | ||
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[1] R.P. Agarwal, D. O’Regan, and P.J.Y.Wong, Positive Solutions of Differential, Difference and Integral Equations, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1999. [2] R.I. Avery and J. Henderson, Two positive fixed points of nonlinear operators on ordered Banach spaces, Comm. Appl. Nonlinear Anal. 8 (2001), 27–36. [3] R.I. Avery and J. Henderson, Existence of three positive pseudo-symmetric solutions for a one-dimensional p-Laplacian, J. Math. Anal. Appl. 277 (2003), 395–404. [4] C. Bai, Existence of positive solutions for boundary value problems of fractional functional differential equations, Elec. J. Qual. Theory Diff. Equ. 30 (2010), 1–14. [5] Z. Bai and H. Lu, Positive solutions for boundary value problems of nonlinear fractional differential equations, J. Math. Anal. Appl. 311 (2005), 495–505. [6] M. Benchohra, J. Henderson, S.K. Ntoyuas, and A. Ouahab, Existence results for fractional order functional differential equations with infinite delay, J. Math. Anal. Appl. 338 (2008), 1340–1350. [7] G. Chai, Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator, Bound. Value Probl. 2012 (2012), 1–18. [8] T. Chen and W. Liu, An anti-periodic boundary value problem for the fractional differential equation with a p-Laplacian operator Appl. Math. Lett. 25 (2012), 1671–1675. [9] L. Diening, P. Lindqvist, and B.Kawohl, Mini-Workshop: The p-Laplacian Operator and Applications, Oberwolfach Rep.. 10 (2013), 433–482. [10] J. Henderson and R. Luca, Boundary Value Problems for Systems of Differential, Difference and Fractional Equations. Positive solutions, Elsevier, Amsterdam, 2016. [11] A.A. Kilbas, H.M. Srivastava, and J.J. Trujillo, Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies. vol. 204, Elsevier Science, Amsterdam, 2006. [12] L. Kong and J. Wang, Multiple positive solutions for the one-dimensional p-Laplacian, Nonlinear Anal. 42 (2000), 1327–1333. [13] B.M.B., Krushna and K.R. Prasad, Eigenvalue intervals for the existence of positive solutions to system of multipoint fractional order boundary value problems, J. Int. Math. Virtual Inst. 6 (2016), 49–65. [14] B.M.B. Krushna, Eigenvalues for iterative systems of Riemann–Liouville type p-Laplacian fractional-order boundary-value problems in Banach spaces, Comp. Appl. Math. 39 (2020), 1–15. [15] I. Podulbny, Fractional Differential Equations, Academic Press, San Diego, 1999. [16] J. Sabatier, O.P. Agrawal, and J.A.T. Machado, Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering, Springer, Dordrecht, 2007. [17] S.G. Samko, A.A. Kilbas, and O.I. Marichev, Fractional Integral and Derivatives: Theory and Applications, Gordon and Breach, Langhorne, PA, 1993. [18] K.R. Prasad and B.M.B. Krushna, Positive solutions to iterative systems of fractional order three-point boundary value problems with Riemann–Liouville derivative, Frac. Differ. Calc. 5 (2015), 137–150. [19] K.R. Prasad and B.M.B. Krushna, Multiple positive solutions for a coupled system of p-Laplacian fractional order two-point boundary value problems, Int. J. Differ. Equ. 2014 (2014), 1–10. [20] K.R. Prasad and B.M.B. Krushna, Solvability of p-Laplacian fractional higher order two-point boundary value problems, Commun. Appl. Anal. 19 (2015), 659–678. [21] K.R. Prasad and B.M.B. Krushna, Multiple positive solutions for a coupled system of Riemann–Liouville fractional order two-point boundary value problems, Nonlinear Stud. 20 (2013), 501–511. [22] K.R. Prasad and B.M.B. Krushna, Eigenvalues for iterative systems of Sturm–Liouville fractional order two-point boundary value problems, Fract. Calc. Appl. Anal. 17 (2014), 638–653. [23] C. Yang and J. Yan, Positive solutions for third order Sturm–Liouville boundary value problems with p-Laplacian, Comput. Math. Appl. 59 (2010), 2059–2066. | ||
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