References
- ABBAS, S.—BENCHOHRA, M.—GRAEF, J. R.—HENDERSON, J.: Implicit Differential and Integral Equations: Existence and stability. In: De Gruyter Series in Nonlinear Analysis and Applications, Vol. 26. Walter de Gruyter, Berlin, 2018.
- ABBAS, S.—BENCHOHRA, M.—N’GUÉRÉKATA, G. M.: Topics in Fractional Differential Equations. In: Developments in Mathematics Vol. 27, Springer-Verlag, New York, 2012.
- ABBAS, S.—BENCHOHRA, M.—N’GUÉRÉKATA, G M.: Advanced Fractional Differential and Integral Equations. Mathematics Research Developments. Nova Science Publishers, Inc., New York, 2015.
- AHMAD, B.—ALSAEDI, A.—NTOUYAS, S.K.—TARIBOON, J.: Hadamard-type Fractional Differential Equations, Inclusions and Inequalities. Springer, Cham, 2017.
- ALI, A.—SAMET, B.—SHAH, K.—KHAN, R. A.: Existence and stability of solution to a toppled systems of differential equations of non–integer order, Bound. Value Prob. (2017), Paper no. 16, 13 pp.
- ALI, A.—SHAH, K.—JARAD, F.—GUPTA, V.—ABDELJAWAD, T.: Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations, Adv. Difference Equ. 2019 (2019), Paper no. 101, 21 pp.
- BALEANU, D.—GÜVENÇ, Z. B.—MACHADO, J. A. T., EDS.: New Trends in Nanotechnology and Fractional Calculus Applications. In: Selected papers based on the presentations at the workshop new trends in science and technology (NTST 08), and the workshop fractional differentiation and its applications (FDA 09), Ankara, Türkei, November 2008. Springer, Dordrecht, 2010.
- BENKHETTOU, N.—SALIM, A.—AISSANI, K. —BENCHOHRA, M.—KARAPINAR, E.: Non-instantaneous impulsive fractional integro-differential equations with state--dependent delay, Sahand Commun. Math. Anal. 19 (2022), 93–109.
- BOURIAH, S.—SALIM, A.—BENCHOHRA, M.: On nonlinear implicit neutral generalized Hilfer fractional differential equations with terminal conditions and delay, Topol. Algebra Appl. 10 (2022), 77–93.
- CHEN, F.—BALEANU, D.—WU G.: Existence results of fractional differential equations with Riesz-Caputo derivative, Eur. Phys. J. 226 (2017), 3411–3425.
- CHEN, F.—CHEN, A.—WU, X.: Anti-periodic boundary value problems with Riesz-Caputo derivative, Adv. Difference Equ. 2019 (2019), Paper no. 119, 13 pp.
- DERBAZI, C.—HAMMOUCHE, H.—SALIM, A.—BENCHOHRA, M.: Measure of non-compactness and fractional hybrid differential equations with hybrid conditions, Differ. Equ. Appl. 14 (2022), 145–161.
- GU, C. Y.—WU, G. C.: Positive solutions of fractional differential equations with the Riesz space derivative, Appl. Math. Lett. 95 (2019), 59–64.
- HERIS, A.—SALIM, A.—BENCHOHRA, M.—KARAPINAR, E.: Fractional partial random differential equations with infinite delay, Results in Physics 37 (2022). https://doi.org/10.1016/j.rinp.2022.105557
- HYERS,D.H.: On the stability of the linear functional equation, Proc. Nat. Acad. Sci. USA 27 (1941), 222–224.
- KHAN, A.—SHAH, K.—LI, Y.—KHAN, T. S.: Ulam type stability for a coupled systems of boundary value problems of nonlinear fractional differential equations, J. Funct. Spaces (2017), Art. ID 3046013, 8. pp.
- KILBAS, A. A.—SRIVASTAVA, H. M.—TRUJILLO, J. J.: Theory and Applications of Fractional Differential Equations. North-Holland Mathematics Studies, Vol. 204, Elsevier Science B. V., Amsterdam, 2006.
- KRIM, S.—SALIM, A.—ABBAS, S.—BENCHOHRA, M.: On implicit impulsive conformable fractional differential equations with infinite delay in b-metric spaces, Rend. Circ. Mat. Palermo Ser. 2 (2022), 1–14.
- LAZREG, J. E.—BENCHOHRA, M.—SALIM, A.: Existence and Ulam stability of k--generalized ψ-Hilfer fractional problem, J. Innov. Appl. Math. Comput. Sci. 2 (2022), 1–13.
- LI, M.—WANG, Y.: Existence and iteration of monotone positive solutions for fractional boundary value problems with Riesz-Caputo derivative, Engineering Letters 29 (2021), 327–331.
- LUO, D.—LUO, Z.—QIU, H.: Existence and Hyers-Ulam stability of solutions for a mixed fractional-order nonlinear delay difference equation with parameters, Math. Probl. Eng. 2020 (2020), Art. ID 9372406, 12 pp.
- MONCH, H.: Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces, Nonlinear Anal. 4 (1980), 985–999.
- NAAS, A.—BENBACHIR, M.—ABDO, M. S.—BOUTIARA, A.: Analysis of a fractional boundary value problem involving Riesz-Caputo fractional derivative, Adv. Theory Nonlinear Anal. Appl. 6 (2022) no. 1, 14–27.
- RASSIAS, T. M.: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 72 (1978), 297–300.
- RUS, I.: Ulam stability of ordinary differential equations in a Banach space,Carpathian J. Math. 26 (2011), 103–107.
- SALIM, A.—AHMAD, B. —BENCHOHRA, M.—LAZREG, J. E.: Boundary value problem for hybrid generalized Hilfer fractional differential equations, Differ. Equ.Appl. 14 (2022), 379–391.
- SALIM, A.—BENCHOHRA, M.—GRAEF, J. R.—LAZREG, J. E.: Initial value problem for hybrid ψ-Hilfer fractional implicit differential equations, J. Fixed Point Theory Appl. 24 (2022), 14 pp.
- SALIM, A.—BENCHOHRA, M.—LAZREG, J. E.: Nonlocal k-generalized ψ-Hilfer impulsive initial value problem with retarded and advanced arguments, Appl. Anal. Optim. 6 (2022), 21–47.
- SALIM, A.—BENCHOHRA, M.—LAZREG, J. E.—HENDERSON, J.: On k-generalized ψ-Hilfer boundary value problems with retardation and anticipation, Adv. Theory of Nonlinear Anal. and Appl. 6 (2022), no. 2, 173–190.
- SALIM, A.—BENCHOHRA, M.—LAZREG, J. E.—KARAPINAR, E.: On k-generalized ψ-Hilfer impulsive boundary value problem with retarded and advanced arguments, J. Math. Ext. 15 (2021), 1–39.
- SALIM, A.—LAZREG, J. E.—AHMAD, B.—BENCHOHRA, M.—NIETO, J. J.: Astudy on k-generalized ψ-Hilfer derivative operator, Vietnam J. Math. (2022), 1–19.
- SHAH, K.—TUNC, C.: Existence theory and stability analysis to a system of boundary value problem, J. Taibah Univ. Sci. 11 (2017), no. 6, 1330–1342
- SMART, D. R.: Fixed Point Theory. Cambridge Univ. Press, Cambridge, 1974.
- ULAM, S. M.: Problems in Modern Mathematics, Science Editions John Wiley & Sons, Inc., New York, 1964.
- WANG, J.—ZADA, A.—WAHEED, H.: Stability analysis of a coupled system of nonlinear implicit fractional anti-periodic boundary value problem, Math Meth Appl Sci. 42 (2019), 6706–6732.