On nonoscillation of fractional order functional differential equations with forcing term and distributed delays

References

[1] Agarwal, R. P.—Bohner, M.—Li, W. T.: Nonoscillation and Oscillation: Theory for Functional Differential Equations, Dekker, New York, 2004.10.1201/9780203025741Search in Google Scholar

[2] Alzabut, J.—Agarwal, R. P.—Grace, S. R.—Jonnalagadda, J. M.—Selvam, A. G. M.— Wang, C.: A survey on the oscillation of solutions for fractional difference equations, Mathematics 10(6) (2022), Art. No. 894.10.3390/math10060894Search in Google Scholar

[3] Alzabut, J.—Manikandan, S.—Muthulakshmi, V.—Harikrishnan, S.: Oscillation criteria for a class of nonlinear conformable fractional damped dynamic equations on time scales, J. Nonlinear Funct. Anal. 2020 (2020), Art. ID 10.10.23952/jnfa.2020.10Search in Google Scholar

[4] Alzabut, J.—Viji, J.—Muthulakshmi, V.—Sudsutad, W.: Oscillatory behavior of a type of generalized proportional fractional differential equations with forcing and damping terms, Mathematics 8(6) (2020), Art. No. 1037.10.3390/math8061037Search in Google Scholar

[5] Balachandran, K.—Sakthivel, R.—Dauer, J. P.: Controllability of neutral functional integrodifferential systems in Banach spaces, Comput. Math. Appl. 39(1–2) (2000), 117–126.10.1016/S0898-1221(99)00318-1Search in Google Scholar

[6] Bodnar, M.—Piotrowska, M.: Stability analysis of the family of tumour angiogenesis models with distributed time delays, Commun. Nonlinear Sci. Numer. Simul. 31 (2016), 124–142.10.1016/j.cnsns.2015.08.002Search in Google Scholar

[7] Candan, T.: The existence of nonoscillatory solutions of higher order nonlinear neutral differential equations, Appl. Math. Lett. 25 (2012), 412–416.10.1016/j.aml.2011.09.025Search in Google Scholar

[8] Candan, T.: Existence of nonoscillatory solutions for system of higher order neutral differential equations, Math. Comput. Model. 57(3–4) (2013), 375–381.10.1016/j.mcm.2012.06.016Search in Google Scholar

[9] Candan T.: Existence of nonoscillatory solutions of first order nonlinear neutral differential equations, Appl. Math. Lett. 26 (2013), 1182–1186.10.1016/j.aml.2013.07.002Search in Google Scholar

[10] Candan, T.: Existence of nonoscillatory solutions of higher order nonlinear mixed neutral differential equations, Dyn. Syst. Appl. 27(4) (2018), 743–755.10.12732/dsa.v27i4.4Search in Google Scholar

[11] Candan, T.—Gecgel, A. M.: Existence of nonoscillatory solutions for system of higher order neutral differential equations with distributed delay, J. Comput. Anal. Appl. 18(2) (2015), 266–276.Search in Google Scholar

[12] Chhatria, G. N.: Nonoscillation of first order neutral impulsive difference equations, Int. J. Difference Equ. 14 (2019), 115–125.10.37622/IJDE/14.2.2019.115-125Search in Google Scholar

[13] Feng, Q.—Meng, F.: Oscillation of solutions to nonlinear forced fractional differential equations, Electron. J. Differential Equations 2013 (2013), Art. No. 169.10.1186/1687-1847-2013-125Search in Google Scholar

[14] Frassu, S.—van der Mee, C.—Viglialoro, G.: Boundedness in a nonlinear attraction-repulsion Keller-Segel system with production and consumption, J. Math. Anal. Appl. 504(2) (2021), Art. ID 125428.10.1016/j.jmaa.2021.125428Search in Google Scholar

[15] Grace, S.—Agarwal, R.—Wong, P. J. Y.—Zafer, A.: On the oscillation of fractional differential equations, Fract. Calc. Appl. Anal. 15(2) (2012), 222–231.10.2478/s13540-012-0016-1Search in Google Scholar

[16] Grace, S. R.—Graef, J. R.—Tunc, E.: On the boundedness of nonoscillatory solutions of certain fractional differential equations with positive and negative terms, Appl. Math. Lett. 97 (2019), 114–120.10.1016/j.aml.2019.05.032Search in Google Scholar

[17] Györi, I.—Ladas, G.: Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, 1991.10.1093/oso/9780198535829.001.0001Search in Google Scholar

[18] Kilbas, A. A.—Srivastava, H. M.—Trujillo, J. J.: Theory and Applications of Fractional Differential Equations, Elsevier, Amsterdam, 2006.Search in Google Scholar

[19] Kong, Q.—Sun, Y.—Zhang, B.: Nonoscillation of a class of neutral differential equations, Comput. Math. Appl. 44(5–6) (2002), 643–654.10.1016/S0898-1221(02)00179-7Search in Google Scholar

[20] Kubiaczyk, I.—Saker, S. H.—Morchalo, J.: New oscillation criteria for first order nonlinear neutral delay differential equations, Appl. Math. Comput. 142 (2003), 225–242.10.1016/S0096-3003(02)00298-9Search in Google Scholar

[21] Ladde, G. S.—Lakshmikandham, V.—Zhang, B. G.: Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker, New York, 1987.Search in Google Scholar

[22] Li, T.—Pintus, N.—Viglialoro, G.: Properties of solutions to porous medium problems with different sources and boundary conditions, Z. Angew. Math. Phys. 70(3) (2019), Art. No. 86.10.1007/s00033-019-1130-2Search in Google Scholar

[23] Li, T.—Pintus, N.—Viglialoro, G.: Boundedness for a nonlocal reaction chemotaxis model even in the attraction-dominated regime, Differential Integral Equations 34(5–6) (2021), 315–336.10.57262/die034-0506-315Search in Google Scholar

[24] Li, H.—Sun, S.: Nonoscillation of higher order mixed differential equations with distributed delays, Rev. R. Acad. Cienc. Exactas Fı́s. Nat. Ser. A Mat. RACSAM 113 (2019), 2617–2625.10.1007/s13398-019-00649-wSearch in Google Scholar

[25] Liu, Y.—Zhang, J.—Yan, Y.: Existence of nonoscillatory solutions for system of higher-order neutral differential equations with distributed deviating arguments, Discrete Dyn. Nat. Soc. 2013 (2013), Art. ID 391973.10.1155/2013/391973Search in Google Scholar

[26] Liu, Y.—Zhao, H.—Yan, Y.: Existence of nonoscillatory solutions for system of higher order neutral differential equations with distributed delays, Appl. Math. Lett. 67 (2017), 67–74.10.1016/j.aml.2016.12.002Search in Google Scholar

[27] Liu, Y.—Zhao, H.—Chen, H.—Kang, S.: Existence of nonoscillatory solutions for system of fractional differential equations with positive and negative coefficients, J. Appl. Anal. Comput. 9(5) (2019), 1940–1947.10.11948/20190012Search in Google Scholar

[28] Liu, Y.—Zhao, H.—Yan, J.: Existence of nonoscillatory solutions for system of higher-order neutral differential equations with distributed coefficients and delays, Adv. Difference Equ. 2017 (2017), Art. No. 41.10.1186/s13662-016-1061-6Search in Google Scholar

[29] Muthulakshmi, V.—Pavithra, S.: Existence of nonoscillatory solutions for mixed neutral fractional differential equation, Discontinuity Nonlinearity Complex. 9(1) (2020), 47–61.10.5890/DNC.2020.03.004Search in Google Scholar

[30] Muthulakshmi, V.—Pavithra, S.: Existence of nonoscillatory solutions for fractional neutral functional differential equations, Malaya J. Mat. 8(1) (2020), 12–19.10.26637/MJM0801/0003Search in Google Scholar

[31] Pavithra, S.—Muthulakshmi, V.: Oscillatory behavior for a class of fractional diffferential equations, Int. J. Pure Appl. Math. 115(9) (2017), 93–107.Search in Google Scholar

[32] Sudsutad, W.—Alzabut, J.—Tearnbucha, C.—Thaiprayoon, C.: On the oscillation of differential equations in frame of generalized proportional fractional derivatives, AIMS Math. 5(2) (2020), 856–871.10.3934/math.2020058Search in Google Scholar

[33] Zhang, W.—Feng, W.—Yan, J.—Song, J.: Existence of nonoscillatory solutions of first order linear neutral delay differential equations, Comput. Math. Appl. 49 (2005), 1021–1027.10.1016/j.camwa.2004.12.006Search in Google Scholar

[34] Zhou, Y.—Ahmad, B.—Alsaedi, A.: Existence of nonoscillatory solutions for fractional neutral differential equations, Appl. Math. Lett. 72 (2017), 70–74.10.1016/j.aml.2017.04.016Search in Google Scholar

[35] Zhou, Y.—Ahmad, B.—Alsaedi, A.: Existence of nonoscillatory solutions for fractional functional differential equations, Bull. Malays. Math. Sci. Soc. 42 (2019), 751–766.10.1007/s40840-017-0511-ySearch in Google Scholar

[36] Zhou, Y.—Zhang, B. G.: Existence of nonoscillatory solutions of higher order neutral differential equations with positive and negative coefficients, Appl. Math. Lett. 15 (2002), 867–874.10.1016/S0893-9659(02)00055-1Search in Google Scholar