참고문헌
- A. Anguraj and P. Karthikeyan, Existence of solutions for fractional semilinear evolution boundary value problem, Commun. Appl. Anal., vol. 14(4) (2010), 505-513.
- A. Anguraj, P. Karthikeyan and G.M. N'Guerekata, Nonlocal Cauchy problem for some fractional abstract integro-differential equations in Banach spaces, Commun. Math. Anal., 6(1) (2009), 31-35.
- M. Alesemi, N. Iqbal and A.A. Hamoud, The analysis of fractional-order proportional delay physical models via a novel transform, Complexity, 2022 (2022), 1-13. https://doi.org/10.1155/2022/2431533
- M.R. Ali, A.R. Hadhoud and H.M. Srivastava, Solution of fractional Volterra-Fredholm integrodifferential equations under mixed boundary conditions by using the HOBW method, Adv. Dif. Equ., 2019 (2019), 115.
- A. Anguraj, P. Karthikeyan, M. Rivero and J.J. Trujillo, On new existence results for fractional integrodifferential equations with impulsive and integral conditions, Comput. Math. Appl., 66 (2014), 2587-2594. https://doi.org/10.1016/j.camwa.2013.01.034
- K. Balachandran, S. Kiruthika and J.J. Trujillo, Existence results for fractional impulsive integrodifferential equations in Banach spaces, Commun. Nonlinear Sci. Numer. Simul., 16(4) (2011), 1970-1977. https://doi.org/10.1016/j.cnsns.2010.08.005
- K. Balachandran and J.Y. Park, Nonlocal Cauchy problem for abstract fractional semilinear evolution equations, Nonlinear Anal., 71(10) (2009), 4471-4475. https://doi.org/10.1016/j.na.2009.03.005
- D. Baleanu, K. Diethelm, E. Scalas and J.J. Trujillo, Fractional calculus. Models and numerical methods, Ser. Ser. Complex. Nonlinearity Chaos. Hackensack, NJ: World Scientific, 3, 2012.
- D.N. Chalishajar, Controllability of nonlinear integro-differential third order dispersion system, J. Math. Anal. Appl., vol. 348(1) (2008), 480-486. https://doi.org/10.1016/j.jmaa.2008.07.047
- D. Chalishajar and K. Karthikeyan, Existence and uniqueness results for boundary value problems of higher order fractional integro-differential equations involving Gronwall's inequality in Banach spaces, Acta Math. Sci., Ser. B, Engl. Ed., 3(3) (2013), 758-772. https://doi.org/10.1016/S0252-9602(13)60036-3
- D.N. Chalishajar, K. Karthikeyan and J.J. Trujillo, Existence of mild solutions for fractional impulsive semilinear integro-differential equations in Banach spaces, Commun. Appl. Nonlinear Anal., 19(4) (2012), 45-56.
- X. Dong, J. Wang and Y. Zhou, On nonlocal problems for fractional differential equations in Banach spaces, Opusc. Math., 31(3), (2011), 341-357. https://doi.org/10.7494/OpMath.2011.31.3.341
- M.M. El-Borai, Some probability densities and fundamental solutions of fractional evolution equations, Chaos Solitons Fractals, 14(3) (2002), 433-440. https://doi.org/10.1016/S0960-0779(01)00208-9
- A. Hamoud, Existence and uniqueness of solutions for fractional neutral Volterra-Fredholm integro differential equations, Adv. Theory Nonlinear Anal. Appl., 4(4) (2020), 321-331. https://doi.org/10.31197/atnaa.799854
- A. Hamoud, M.SH. Bani Issa and K. Ghadle, Existence and uniqueness results for nonlinear Volterra-Fredholm integro-differential equations, Nonlinear Funct. Anal. Appl., 23(4) (2018), 797-805. https://doi.org/10.7862/rf.2018.9
- A. Hamoud and K. Ghadle, Some new existence, uniqueness and convergence results for fractional Volterra-Fredholm integro-differential equations, J. Appl. Comput. Mech., 5(1) (2019), 58-69. https://doi.org/10.7862/rf.2018.9
- A. Hamoud, A. Khandagale, R. Shah and K. Ghadle, Some new results on Hadamard neutral fractional nonlinear Volterra-Fredholm integro-differential equations, Discontinuity, Nonlinearity, and Complexity, 12(4) (2023), 893-903. https://doi.org/10.5890/DNC.2023.12.013
- A.A. Hamoud, N.M. Mohammed and R. Shah, Theoretical analysis for a system of nonlinear <-Hilfer fractional Volterra-Fredholm integro-differential equations, J. Sib. Fed. Univ. Math. Phys., 16(2) (2023), 216-229.
- E. Hernandez, D. ORegan and K. Balachandran, On recent developments in the theory of abstract differential equations with fractional derivatives, Nonlinear Anal., 73(10) (2010), 3462-3471. https://doi.org/10.1016/j.na.2010.07.035
- K. Ivaz, I. Alasadi and A. Hamoud, On the Hilfer fractional Volterra-Fredholm integro differential equations, IAENG Int. J. Appl. Math., 52(2) (2022), 426-431.
- I. Jebril, Y. Gouari, M. Rakah and Z. Dahmani, Solvability For a Class of FDEs With Some (e1, e2, θ)-nonlocal anti periodic conditions and Another Class of KdV Burger equation Type , Nonlinear Funct. Anal. Appl., 28(4) (2023), 1017-1034.
- B. Khaminsou, Ch. Thaiprayoon, W. Sudsutad and S. A. Jose, Qualitative analysis of a proportional Caputo fractional Pantograph differential equation with mixed nonlocal conditions , Nonlinear Funct. Anal. Appl., 26(1) (2021), 197-223
- A.A. Kilbas, H.M. Srivastava and J.J. Trujillo, Theory and applications of fractional differential equations, Ser. North-Holland Math. Stud. Amsterdam: Elsevier, 2006, vol. 204.
- V. Lakshmikantham, S. Leela and J. Vasundhara Devi, Theory of fractional dynamic systems, Cambridge: Cambridge Scientific Publishers, 2009.
- K.S. Miller and B. Ross, An introduction to the fractional calculus and fractional differential equations. New York: John Wiley & Sons, Inc., 1993.
- S.G. Samko, A.A. Kilbas and O.I. Marichev, Fractional integrals and derivatives: theory and applications, Transl. from the Russian. New York, NY: Gordon and Breach, 1993.
- J. Wang and Y. Zhou, Study of an approximation process of time optimal control for fractional evolution systems in Banach spaces, Adv. Dif. Equ., vol. 2011, p. 16, 2011, id/No 385324.
- J. Wang, L. Lv and Y. Zhou, Boundary value problems for fractional differential equations involving Caputo derivative in Banach spaces, J. Appl. Math. Comput., 2011, doi: 10.1007/s12190- 011-0474-3.
- Y. Yang, L. Lv and J. Wang, Existence results for boundary value problems of high order differential equations involving Caputo derivative, J. Appl. Math. Comput., 38(1-2) (2012), 565-583. https://doi.org/10.1007/s12190-011-0497-9
- Y. Zhou, Existence and uniqueness of fractional functional differential equations with unbounded delay, Int. J. Dyn. Syst. Dif. Equ., 1(4) (2008), 239-244. https://doi.org/10.1504/IJDSDE.2008.022988
- Y. Zhou, F. Jiao and J. Li, Existence and uniqueness for fractional neutral differential equations with infinite delay, Nonlinear Anal., 71(7-8) (2009), 3249-3256. https://doi.org/10.1016/j.na.2009.01.202