INFORMAZIONI SU QUESTO ARTICOLO

Cita

[1] S. Abbas, L. Mahto, M. Hafayed and A. M. Alimi, Asymptotic almost automorphic solutions of impulsive neural network with almost automorphic coefficients, Neurocomputing, 142(2014), 326–334.10.1016/j.neucom.2014.04.028 Search in Google Scholar

[2] D. D. Bainov and P. S. Simeonov, Impulsive Differential Equations: Asymptotic properties of the solutions, World Scientific Singapore, 1995.10.1142/2413 Search in Google Scholar

[3] J. Blot, G. M. Mophou, G. M. N. Guérékata and D. Pennequin, Weighted pseudo almost automorphic functions and applications to abstract differential equations, Nonlinear Analysis : Theory, Methods and Applications, 71(2009), 903–909. Search in Google Scholar

[4] S. Bochner, Continuous mappings of almost automorphic and almost periodic functions, Proceedings of the National Academy of Sciences of the United States of America, 52(1964), 907–910.10.1073/pnas.52.4.90730037116591232 Search in Google Scholar

[5] J. Cao, Z. Huang and G.M. N Guérékata, Existence of asymptotically almost automorphic mild solutions for nonautonomous semilinear evolution equations, Electronic Journal of Differential Equations, 2018(37)(2018), 1–16.10.1155/2018/8243180 Search in Google Scholar

[6] Y. K. Chang, M. M. Arjunan, G.M. N Guérékata and V. Kavitha, On global solutions to fractional functional differential equations with infinite delay in Fréchet spaces, Computers with Mathematics and Applications, 62(2011), 1228–1237.10.1016/j.camwa.2011.03.039 Search in Google Scholar

[7] E. Cuesta, Asymptotic bahaviour of the solutions of fractional integrodifferential equations and some time discretizations, Discrete Continuum Dynamics Systems(Supplement)(2007), 277–285. Search in Google Scholar

[8] K. Diethelm, The Analysis of Fractional Differential Equations, Springer, New York, 2010.10.1007/978-3-642-14574-2 Search in Google Scholar

[9] H. S. Ding, W. Long and G M. NGuérékata, A composition theorem for weighted pseudo-almost automorphic functions and applications, Nonlinear Analysis, 73(2010), 2644–2650.10.1016/j.na.2010.06.042 Search in Google Scholar

[10] W.G. Glockle and T. F. Nonnemacher, A fractional calculus approach of self-similar protein dynamics, Biophysical Journal, 68(1995), 46–53.10.1016/S0006-3495(95)80157-812816597711266 Search in Google Scholar

[11] J. Grayna, V. Kavitha and Soumya George, A study on PC- Asymptotically almost automorphic solution of impulsive Fredholm-Volterra integro differential equation with fractional order, Journal of Advanced Research in Dynamical & Control Systems, 11(7)(2019), 259–270.10.5373/JARDCS/V11/20192510 Search in Google Scholar

[12] V. Kavitha, P. Z. Wang and R. Murugesu, Existence of weighted pseudo almost automorphic mild solutions to fractional integro-differential equations, Journal of fractional Calculus and Applications, 4(2013), 1–19. Search in Google Scholar

[13] V. Kavitha, D. Baleanu and J. Grayna, Measure pseudo almost auto-morphic solution to second order fractional impulsive neutral differential equation, AIMS Mathematics, 6(8)(2021), 8352–8366.10.3934/math.2021484 Search in Google Scholar

[14] V. Kavitha, Dumitru Baleanu, Soumya George and J. Grayna, Existence of measure pseudo-almost automorphic functions and applications to impulsive integro-differential equation, Chaos, 31(2021), 093126.10.1063/5.006031934598471 Search in Google Scholar

[15] A. A. Kilbas, H. M. Srivastava and J. J. Trujillo, Theory and Applications of Fractional Differential Equations, in: North-Holland Mathematics Studies, vol. 204, Elsevier Science BV, Amsterdam, 2006. Search in Google Scholar

[16] J. Liang, J. Zhang and T. J. Xiao, Composition of pseudo almost automorphic and asymptotically almost automorphic functions, Journal of Mathematical Analysis and Applications, 340(2008), 1493–1499.10.1016/j.jmaa.2007.09.065 Search in Google Scholar

[17] L. Mahto and S. Abbas, PC-almost automorphic solution of impulsive fractional differential equations, Mediterranean Journal of Mathematics, 12(2015), 771–790.10.1007/s00009-014-0449-3 Search in Google Scholar

[18] M. Mallika Arjunan, T. Abdeljawad, V. Kavitha and A. Yousef, On a new class of Atangana-Baleanu fractional Volterra-Fredholm integrodifferential inclusions with non-instantaneous impulses, Chaos, Solitons & Fractals, 148(2021), 111075.10.1016/j.chaos.2021.111075 Search in Google Scholar

[19] M. Mallika Arjunan, A. Hamiaz and V. Kavitha, Existence results for Atangana-Baleanu fractional neutral integro-differential systems with infinite delay through sectorial operators, Chaos, Solitons & Fractals, 149(2021), 11042.10.1016/j.chaos.2021.111042 Search in Google Scholar

[20] V.D. Milman and A.D. Myshkis, On the stability of motion in presence of impulses, Siberian Mathematical Journal, 1(1960), 233–237. Search in Google Scholar

[21] G. M. Mophou, Weighted pseudo almost automorphic mild solutions to semilinear fractional differential equations, Applied Mathematics and Computation, 217(2011), 7579–7587.10.1016/j.amc.2011.02.048 Search in Google Scholar

[22] I. Podlubny, Fractional Differential Equations, Academic Press, London, 1999. Search in Google Scholar

[23] B. N. Sadovskii, On a fixed point principle, Functional Analysis and Applications, 1(1967), 74–76. Search in Google Scholar

[24] J. Sousa and G.M. N Guérékata, Stepanov type μ-pseudo almost automorphic mild solutions of semilinear fractional integrodifferential equations, 2021 hal-03189230. Search in Google Scholar

[25] C. Wang and R. P. Agarwal, Weighted piecewise pseudo almost automorphic functions with applications to abstract impulsive ∇-dynamic equations on time scales, Advances in Difference Equations, 2014(1)(2014), 1–29.10.1186/1687-1847-2014-153 Search in Google Scholar

[26] C. Wang, R. P. Agarwal, D.ORegan and R. Sakthivel, Local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scales, Boundary Value Problems, 2019:133(2019), 1–24.10.1186/s13661-019-1247-4 Search in Google Scholar

[27] Z. Xia, Weighted pseudo almost automorphic solutions of hyperbolic semi-linear integro-differential equations, Nonlinear Analysis, 95(2014), 50–65.10.1016/j.na.2013.08.027 Search in Google Scholar

[28] E. Zeidler, Non-linear Functional Analysis and its Application: Fixed Point Theorems, Springer, New York, 1986.10.1007/978-1-4612-4838-5_18 Search in Google Scholar

eISSN:
1844-0835
Lingua:
Inglese
Frequenza di pubblicazione:
Volume Open
Argomenti della rivista:
Mathematics, General Mathematics