[1] S. Abbas, W.A. Albarakati, M. Benchohra, J. Henderson, Existence and Ulam stabilities for Hadamard fractional integral equations with random effects, Electron. J. Differ. Equ. 2016 (2016) 1–12.
[2] N. Adjimi, A. Boutiara, M.S. Abdo, M. Benbachir, Existence results for nonlinear neutral generalized Caputo fractional differential equations, J. Pseudo. Differ. Oper. Appl. 12 (2021) 1–17.
[3] B. Ahmad, S.K. Ntouyas, On Hadamard fractional integro-differential boundary value problems, J. Appl. Math. Comput. 47 (2015) 119-131.
[4] R.P. Agarwal, S.K. Ntouyas, B. Ahmad, M.S.A. Lhothuali, Existence of solutions for integro-differential equations of fractional order with nonlocal three-point fractional boundary conditions, Adv. Differential Equations 1 (2013) 1–9.
[5] B. Ahmad, S.K. Ntouyas, Initial value problems of fractional order Hadamard-type functional differential equations, Electron. J. Differ. Equ. 77 (2015) 627–637.
[6] B. Ahmad, S.K. Ntouyas, A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations, Fract. Calc. Appl. Anal. 17 (2014) 348–360.
[7] B. Ahmad, J.J. Nieto, Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions, Bound. Value Probl. 2009 (2009) 1-11.
[8] A. Alsaedi, S.K. Ntouyas, B. Ahmad, A. Hobiny, Nonlinear Hadamard fractional differential equations with Hadamard type nonlocal non-conserved conditions, Adv. Differential Equations 1 (2015) 1-13.
[9] A. Benmezai, A. Saadi, Positive solutions for boundary value problems of N-dimension nonlinear fractional differential system with integral boundary conditions, Fract. Diff. Calc. 7 (2017) 185–197.
[10] A. Boutiara, M. Benbachir, M.K. Kaabar, F. Martinez, M.E. Samei, M. Kaplan, Explicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite interval, J. Inequal. Appl. 1 (2022) 29.
[11] A. Boutiara, M. Benbachir, J. Alzabut, M.E. Samei, Monotone iterative and upper-lower solution techniques for solving the nonlinear ψ-Caputo fractional boundary value problem, Fractal Fract. 5 (2021) 194.
[12] A. Boutiara, M. Benbachir, K. Guerbati, Boundary value problem for nonlinear Caputo-Hadamard fractional differential equation with Hadamard fractional integral and anti-periodic conditions, Facta Univ. Ser. Math. Inform. 36 (2021) 735–748.
[13] A. Boutiara, M. Benbachir, Existence and uniqueness results to a fractional q-difference coupled system with integral boundary conditions via topological degree theory, Inter. J. Nonl. Anal. Appl. 13 (2022) 3197–3211.
[14] T.S. Cerdik, N.A. Hamal, F.Y. Deren, Nonlinear fractional differential equations with m-point integral boundary conditions, Fract. Diff. Calc. 9 (2019) 65–74.
[15] Y.Y. Gambo, F. Jarad, D. Baleanu, T. Abdeljawad, On Caputo modification of the Hadamard fractional derivatives, Adv. Differential Equations 2014 (2014) 12.
[16] L. Gaul, P. Klein, S. Kemple, Damping description involving fractional operators, Mech. Syst. Signal Pr. 5 (1991) 81–88.
[17] W.G. Glockle, T.F. Nonnenmacher, A fractional calculus approach to self-similar protein dynamics, Biophys. J. 68 (1995) 46–53.
[18] J. Hadamard, Essai sur l'étude des fonctions données par leur développement de Taylor, J. Pure Appl. Math. 4 (1892) 101–186.
[19] R. Hilfer, Applications of Fractional Calculus in Physics, World Scientific Publishing Co., Inc., River Edge, NJ, 2000.
[20] F. Jarad, D. Baleanu, A. Abdeljawad, Caputo-type modification of the Hadamard fractional derivatives, Adv. Differential Equations 2012 (2012) 1-8.
[21] A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies, Elsevier Science B.V., Amsterdam, 2006.
[22] F. Mainardi, Fractional Calculus and Waves in Linear Viscoelasticity, Imperial College Press, London, 2010.
[23] R. Metzler, W. Schick, H.G. Kilian, T.F. Nonnenmacher, Relaxation in filled polymers: A fractional calculus approach, J. Chem. Phys. 103 (1995) 7180-7186.
[24] K.S. Miller, B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, New York: Wiley, 1993.
[25] I. Podlubny, Fractional Differential Equations, Mathematics in Science and Engineering, Academic Press, Inc., San Diego, CA, 1999.
[26] J. Sabatier, O.P. Agrawal, J.A.T. Machado, Advances in Fractional Calculus, Dordrecht, Springer, 2007.
[27] W. Shatanawi, A. Boutiara, M.S. Abdo, M.B. Jeelani, K. Abodayeh, Nonlocal and multiple-point fractional boundary value problem in the frame of a generalized Hilfer derivative, Adv. Differential Equations 1 (2021) 294.
[28] W. Sudsutad, J. Tariboon, Boundary value problems for fractional differential equations with three-point fractional integral boundary conditions, Adv. Differential Equations 1 (2012) 1–10.
[29] W. Sudsutad, J. Tariboon, Existence results of fractional integro-differential equations with m-point multi-term fractional order integral boundary conditions, Bound. Value Probl. 2012 (2012) 1-11.
[30] V.E. Tarasov, Fractional Dynamics, Nonlinear Physical Science, Springer, Heidelberg, 2010.
[31] P. Thiramanus, S.K. Ntouyas, J. Tariboon, Existence and uniqueness results for Hadamard-type fractional differential equations with nonlocal fractional integral boundary conditions, Abstr. Appl. Anal. 2014 (2014).
[32] B. Wafaa, H. Samira, H. Johnny, Boundary value problems for Caputo-Hadamard fractional differential equations, Adv. Theory Nonlinear Anal. Appl. 2 (2018) 138-145.
[33] J. Wang, Y. Zhang, On the concept and existence of solutions for fractional impulsive systems with Hadamard derivatives, Appl. Math. Lett. 39 (2015) 85-90.
[34] A. Yacine, B. Nouredine, Boundary value problem for Caputo-Hadamard fractional differential equations, Surv. Math. Appl. 12 (2017) 103-115.
[35] X. Zhang, Positive solutions for a class of singular fractional differential equation with infinite-point boundary value conditions, Appl. Math. Lett. 39 (2015) 22-27.