International Journal of Mathematics Trends and Technology
Volume 65 | Issue 4 | Year 2019 | Article Id. IJMTT-V65I4P525 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I4P525
In this paper, we study the existence of solutions for sequential fractional integrodifferential equations involving nonlocal anti-periodic boundary conditions. By using the fixed point theorems, the existence results are proved. An example is also support the main results.
[1] A. Anguraj, P. Karthikeyan and J. J. Trujillo, Existence of Solutions to Fractional Mixed Integrodifferential Equations with Nonlocal Initial Condition, Advances in Difference Equations, 2011(2011), 1-12.
[2] B. Ahmad, J. J. Nieto, Sequential fractional differential equations with three-point boundary conditions, Computers and Mathematics with Applications, 64 (2012) 3046-3052.
[3] B. Ahmad, A. Alsaedi, R. P. Agarwal, A. Alsharif, On Sequential Fractional Integro- Differential Equations with Nonlocal Integral Boundary Conditions, Bull. Malays. Math. Sci. Soc., 2016 (2016), 1-13.
[4] B. Ahmad, R. Luca, Existence of solutions for sequential fractional integrodifferential equations and inclusions with nonlocal boundary conditions, Applied Mathematics and Computation, 339 (2018), 516-534.
[5] B. Ahmad , R. Luca , Existence of solutions for a sequential fractional integrodifferential system with coupled integral boundary conditions, Chaos Solitons Fractals, 104 (2017), 378-388.
[6] R. P. Agarwal, B. Ahmad, J. J. Nieto, Fractional Differential Equations with Nonlocal (Parametric Type) Anti-Periodic Boundary Conditions, Filomat, 31(5) (2017), 1207-1214.
[7] S. Aljoudi , B. Ahmad , J.J. Nieto , A. Alsaedi, A coupled system of Hadamard type sequential fractional differential equations with coupled strip conditions, Chaos Solitons Fractals, 91 (2016), 39-46.
[8] A. Alsaedi , S.K. Ntouyas , R.P. Agarwal , B. Ahmad , On Caputo type sequential fractional differential equations with nonlocal integral boundary conditions, Adv. Differ. Equ., 2015 (33) (2015), 1-12.
[9] B. Ahmad, A. Alsaedi, R. P. Agarwal and A. Alsharif, On Sequential Fractional Integro-Differential Equations with Nonlocal Integral Boundary Conditions, Bull. Malays. Math. Sci. Soc., DOI 10.1007/s40840-016-0421-4, (2016), 1-13.
[10] M. M. Matar, Solution of Sequential Hadamard Fractional Differential Equations by Variation of Parameter Technique, Abstract and Applied Analysis, 2018 (2018), 1-7.
[11] P. Karthikeyan and R. Arul, Existence of Solutions for Hadamard Fractional Hybrid Differential Equations with Impulsive and Nonlocal Conditions, Journal of Fractional Calculus and Applications, 9(1) (2018), 232-240.
[12] P. Karthikeyan and R.Arul, Stability for Impulsive Implicit Hadamard Fractional Differential Equations, Malaya Journal of Matematik, 6(1)(2018), 28-33.
[13] M. Klimek, Sequential fractional differential equations with Hadamard derivative, Commun Nonlinear Sci Numer Simulat, 16 (2011), 4689-4697.
[14] K. B. Oldham and J. Spanier, The Fractional Calculus, Academic Press, New York, London, 1974.
[15] I. Podlubny, Fractional Differential Equation, Academic Press, San Diego, 1999.
[16] Z. Wei, Q. Li, J. Che, Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative, J. Math. Anal. Appl., 367 (2010) 260-272.
[17] Y. Zhou, Basic theory of fractional differential equations, Singapore: World Scientific, 2014.
S. Suresh, G. Thamizhendhi, "Some Results on Sequential Fractional Integro-Differential Equations with Anti-periodic Boundary Conditions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 4, pp. 149-157, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I4P525
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