[
[1] Abbas, S., Benchohra, M., Sivasundaram, S.: Dynamics and Ulam stability for Hilfer type fractional differential equations. Nonlinear Stud. 23(4), 627637 (2016)
]Search in Google Scholar
[
[2] Agarwal, R.P., Meehan, M., O’Regan, D.: Fixed Point Theory and Applications. Cambridge University Press, (2004)
]Search in Google Scholar
[
[3] Ahmad, B., Nieto, J.J.: Existence results for a couple System of nonlinear fractional differential equations with threepoint boundary conditions. Comput. Math. Appl. 58, 1838-1843 (2009)10.1016/j.camwa.2009.07.091
]Search in Google Scholar
[
[4] Ahmad, B., Ntouyas, S.K.: Initial value problems of fractional order Hadamard-type functional differential equations. Electron. J. Differ. Equ. 2015(77), 1-9 (2015)10.1186/s13662-015-0625-1
]Search in Google Scholar
[
[5] Andras, S., Kolumban, J.J.: On the Ulam-Hyers stability of first order differential systems with nonlocal initial conditions. Nonlinear Anal. Theory Methods Appl. 82, 1-11 (2013)10.1016/j.na.2012.12.008
]Search in Google Scholar
[
[6] Bitsadze, A., Samarskii, A.: On some simple generalizations of linear elliptic boundary problems. Russ. Acad Sci Dokl Math. 10, 398400 (1969)
]Search in Google Scholar
[
[7] Furati, K.M., Kassim, M.D., Tatar, N.E.: Existence and uniqueness for a problem involving Hilfer fractional derivative. Comput. Math. Appl. 64, 1616-1626 (2012)10.1016/j.camwa.2012.01.009
]Search in Google Scholar
[
[8] Furati, K.M., Kassim, M.D.: Non-existence of global solutions for a differential equation involving Hilfer fractional derivative. Electron. J. Differ. Equ. 2013(235), 110 (2013)
]Search in Google Scholar
[
[9] Harikrishnan, S., Ibrahim, R.W., Kanagarajan, K.: On the generalized Ulam-Hyers-Rassias stability for coupled fractional differential equations. Commun. Optim. Theory. 2018, (2018). https://doi.org/10.23952/cot.2018.16
]Search in Google Scholar
[
[10] Hilfer, R.: Applications of Fractional Calculus in Physics. World Scientific, Singapore (2000)10.1142/3779
]Search in Google Scholar
[
[11] Hyers, D.H.: On the stability of the linear functional equation. Proc. Natl. Acad. Sci. 27, 222-224 (1941)10.1073/pnas.27.4.222
]Search in Google Scholar
[
[12] Ibrahim, R.W.: Generalized Ulam-Hyers stability for fractional differential equations. Int. J. Math. 23(5), 1-9 (2012)10.1155/2012/613270
]Search in Google Scholar
[
[13] Khan, A., Khan, H., Gomez-Aguilar, J.F., Abdeljawad, T.: Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel. Chaos Soliton. Fract. 127, 422-427 (2019)10.1016/j.chaos.2019.07.026
]Search in Google Scholar
[
[14] Khan, H., Li, Y., Khan, A., Khan, A.: Existence of solution for a fractional-order Lotka-Volterra reaction-diffusion model with Mittag-Leffler kernel. Math. Method Appl. Sci. 42(9), 33773387 (2019)10.1002/mma.5590
]Search in Google Scholar
[
[15] Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations. Elsevier Science, Amsterdam 204 (2006)
]Search in Google Scholar
[
[16] Kumar, A., Jeet, K., Vats, R.K.: Controllability of Hilfer fractional integro-differential equation of Sobolev-type with a non-local conditions in a Banach space. Evo. eq. and control theory. (2021). doi:10.3934/eect.202101610.3934/eect.2021016
]Search in Google Scholar
[
[17] Magin, R.: Fractional Calculus in Bioengineering. Crit. Rev. Biom. Eng. 32(1), 1-104 (2004)10.1615/CritRevBiomedEng.v32.10
]Search in Google Scholar
[
[18] Muniyappan, P., Rajan, S.: Hyers-Ulam-Rassias stability of fractional differential equation. Int. J. Pure Appl. Math. 102, 631-642 (2015)10.12732/ijpam.v102i4.4
]Search in Google Scholar
[
[19] Nain, A., Vats, R.K., Kumar, A.: Coupled fractional differential equations involving CaputoHadamard derivative with nonlocal boundary conditions. Math. Method Appl. Sci. 113 (2020). https://doi.org/10.1002/mma.702410.1002/mma.7024
]Search in Google Scholar
[
[20] Oldham, K.B.: Fractional differential equations in electrochemistry. Adv. Eng. Softw. 41, 9-12 (2010)10.1016/j.advengsoft.2008.12.012
]Search in Google Scholar
[
[21] Picone, M.: Su un problema al contorno nelle equazioni differenziali lineari ordinarie del secondo ordine. Ann Scuola Norm Sup Pisa Cl Sci. 10, 195 (1908)
]Search in Google Scholar
[
[22] Podlubny, I.: Fractional Differential Equations. Academic Press, San Diego (1999)
]Search in Google Scholar
[
[23] Rus, I.A.: Ulam stabilities of ordinary differential equations in a Banach space. Carpathian J. Math. 26, 103-107 (2010)
]Search in Google Scholar
[
[24] Shah, K., Khalil, H., Khan, R.A.: Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations. Chaos. Soliton. Fract. 77, 240246 (2015)10.1016/j.chaos.2015.06.008
]Search in Google Scholar
[
[25] Shah K., Tunc, C.: Existence theory and stability analysis to a system of boundary value problem. J. Taibah Univ. Sci. 11, 1330-1342 (2017)10.1016/j.jtusci.2017.06.002
]Search in Google Scholar
[
[26] Sousa, J.V.C., De Oliveira, E.C.: On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the ψ -Hilfer operator. J. Fixed Point Theory and Appl. 20(96), (2018). arXiv:1711.07339v110.1007/s11784-018-0587-5
]Search in Google Scholar
[
[27] Su, X.: Boundary value problem for a coupled system of nonlinear fractional differential equations. Appl. Math. Lett. 22, 64-69 (2009)10.1016/j.aml.2008.03.001
]Search in Google Scholar
[
[28] Ulam, S.M.: A Collection of the Mathematical Problems. Interscience, New York (1960)
]Search in Google Scholar
[
[29] Verma, S.K., Vats, R.K., Nain, A.K.: Existence and uniqueness results for a fractional differential equations with nonlocal boundary conditions. Bol. Soc. Parana. Mat. ISSN-0037-8712 in press doi:10.5269/bspm.5167510.5269/bspm.51675
]Search in Google Scholar
[
[30] Vivek, D., Kanagarajan K., Elsayed, E.M.: Some existence and stability results for Hilfer-fractional implicit differential equations with nonlocal conditions. Mediterr. J. Math. (2018). https://doi.org/10.1007/s00009-017-1061-010.1007/s00009-017-1061-0
]Search in Google Scholar
[
[31] Vivek, D., Kanagarajan, K., Sivasundaram, S.: Theory and analysis of nonlinear neutral pantograph equations via Hilfer fractional derivative. Nonlinear Stud. 24(3), 699-712 (2017)10.5899/2017/jnaa-00370
]Search in Google Scholar
[
[32] Wang, C.: HyersUlamRassias stability of the Generalized fractional systems and the p-Laplace transform method. Mediterr. J. Math. 18(129), (2021). https://doi.org/10.1007/s00009-021-01751-310.1007/s00009-021-01751-3
]Search in Google Scholar
[
[33] Wang, J., Shah, K., Ali, A.: Existence and HyersUlam stability of fractional nonlinear impulsive switched coupled evolution equations. Math. Meth. Appl. Sci. 41(6), 111 (2018)10.1002/mma.4748
]Search in Google Scholar
[
[34] Wang, J.R., Zhang, Y.: Analysis of fractional order differential coupled systems. Math. Methods Appl. Sci. 38(15), 33223338 (2015)10.1002/mma.3298
]Search in Google Scholar
[
[35] Whyburn, W.M.: Differential equations with general boundary conditions. Bull Amer Math Soc. 48, 692704 (1942)10.1090/S0002-9904-1942-07760-3
]Search in Google Scholar
[
[36] Yang, M., Wang, Q.: Existence of mild solutions for a class of Hilfer fractional evolution eqautions with nonlocal condition. Fract. Calc. Appl. Anal. 20, 679-705 (2017)10.1515/fca-2017-0036
]Search in Google Scholar
