On the results of nonlocal Hilfer fractional semilinear differential inclusions

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참고문헌 (37)

1. Alireza Ansari, "Fractional exponential operators and time-fractional telegraph equation", Boundary Value Problems, 2012(1) (2012), Springer Science and Business Media LLC[DOI]
2. Baleanu. D, "New Trends in Nanotechnology and Fractional Calculus Applications" (2010), Springer
3. Baleanu. D, "Fractional Calculus Models and Numerical Methods, Series on Complexity, Nonlinearity and Chaos" (2012), World Scientific
4. Bashirov. A. E, "On concepts of controllability for deterministic and stochastic systems", SIAM J. Control Optim, 37, pp.1808~1821 (1999)
5. Debbouche. A, "Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems", Comput. Math. Appl, 62, pp.1442~1450 (2011)
6. Debbouche. A, "Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions", Appl. Math. Comput., 243, pp.161~175 (2014)
7. Dumitru Baleanu, "Luo, Fractional Dynamics and Control" (2012), Springer
8. Feckan. M, "Controllability of fractional functional evolution equations of Sobolev type via characteristic solution operators", J. Optim. Theory Appl, 156, pp.79~95 (2013)
9. Furati. K. M, "Existence and uniqueness for a problem involving Hilfer fractional derivative", Comput.Math.Appl, 64, pp.1616~1626 (2012)
10. Furati. K. M, "Non-existence of global solutions for a differential equation involving Hilfer fractional derivative", Electron.J.Diff.Eq, 235, pp.1~10 (2013)
11. Gu. H. B, "Existence of mild solution for evolution equation with Hilfer fractional derivative", Appl. Math. Comput., 257, pp.344~354 (2015)
12. Hilfer. R, "Applications of Fractional Calculus in Physics" (2000), World Scientific
13. Hilfer. R, "Operational method for the solution of fractional differential equations with generalized Riemann-Liouville fractional derivatives", Fract.Calc.Appl.Anal, 12, pp.289~318 (2009)
14. Kilbas. A.A, "North-Holland Mathematics Studies, 204" (2006), Elsevier Science Amsterdam
15. Lakshmikantham. V, "Theory of Fractional Dynamic Systems" (2009), Cambridge Scientific Publishers
16. Liu. XH, "Approximate controllability of impulsive fractional neutral evolution equations with Riemann-Liouville fractional derivatives", J. Comput. Anal. Appl., 17, pp.468~485 (2014)
17. Mahmudov.NI, "On the approximate controllability of fractional evolution equations with generalized Riemann-Liouville fractional derivative", J. Funct. Spaces, pp.9~ (2015)
18. Mainardi. F, "Fractional Calculus: Integral and Differential Equations of Fractional Order, Fractals and Fractional Calculus in Continuum Mechanics", pp.291~348 (1997), Springer-Verlag
19. Miller. K.S, "An Introduction to the Fractional Calculus and Differential Equtions" (1993), Wiley
20. Min Yang, "Approximate controllability of Hilfer fractional differential inclusions with nonlocal conditions", Mathematical Methods in the Applied Sciences, 40(4), pp.1126~1138 (2017), Wiley[DOI]
21. Mophou. G, "Controllability of semilinear neutral fractional functional evolution equations with infinite delay", Nonlinear Stud, 18, pp.195~209 (2011)
22. Mophou. G, "Controllability of a backward fractional semilinear differential equation", Appl. Math. Comput, 242, pp.168~178 (2014)
23. Podlubny. I, "An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications" (1999), Academic Press
24. Ravichandran. C, "On the controllability of fractional functional integro-differential systems with an infinite delay in Banach spaces", Adv. Difference Equ, 291, pp.1~13 (2013)
25. Ravichandran. C, "Haci Mehmet Baskonus and Valliammal. N, New results on nondensely characterized integro-differential equations with fractional order", The European Physical Journal Plus, 133, pp.109~ (2018)[DOI]
26. Rykaczewski.K, "Approximate controllability of differential inclusions in Hilbert spaces", Nonlinear Anal, 75, pp.2701~2712 (2012)
27. Subashini. R, "On the controllability of non-densely defined fractional neutral functional differential equations in Banach spaces", Int. J. Pure Appl. Math, 118(11), pp.257~276 (2018)
28. N. Valliammal, "On the controllability of fractional neutral integrodifferential delay equations with nonlocal conditions", Mathematical Methods in the Applied Sciences, 40(14), pp.5044~5055 (2017), Wiley[DOI]
29. Vijayakumar. V, "Approximate controllability for a class of fractional neutral integro-differential inclusions with statedependent delay", Nonlinear Stud, 20, pp.511~530 (2013)
30. Vijayakumar. V, "Controllability results for a class of fractional semilinear integro-differential inclusions via resolvent operators", Appl. Math. Comput., 247, pp.152~161 (2014)
31. Wang. JR, "Nonlocal initial value problems for differential equations with Hilfer fractional derivative", Appl. Math. Comput., 266, pp.850~859 (2015)
32. Zhou. Y, "Existence and uniqueness for fractional neutral differential equations with infinite delay", Nonlinear Anal, 71(7), pp.3249~3256 (2009), TMA
33. Zhou. Y, "Nonlocal Cauchy problem for fractional evolution equations", Nonlinear Anal, 11(5), pp.4465~4475 (2010)
34. Zhou. Y, "Existence of mild solutions for fractional neutral evolution equations", Comput.Math.Appl, 59, pp.1063~1077 (2010)
35. Zhou. Y, "Existence of mild solutions for fractional evolution equations", J.Int.Equ.Appl, 25, pp.557~585 (2013)
36. Zhou.Y, "Basic Theory of Fractional Differential Equations" (2014), World Scientific
37. Zhou. Y, "Controllability results for fractional order neutral functional differential inclusions with infinite delay", Fixed Point Theory, 18(2), pp.773~798 (2017)

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