List of Publications

• M.A. Darwish, M. AL-Yami and K. Sadarangani, On existence of nondecreasing solutions of q-quadratic integral equations, Journal of Computational Analysis and Applications 24 (8) (2018), 1565-1578.
• M.A. Darwish and J.R. Graef and K. Sadarangani, On Urysohn-Volterra fractional quadratic integral equations, Journal of Applied Analysis and Computation, 8 (1) (2018), 331-343.
• M.A. Darwish and B. Samet, On Erdélyi–Kober quadratic functional-integral equation in Banach algebra, Numerical Functional Analysis and Optimization, DOI: 10.1080/01630563.2017.1364266
• M.A. Darwish and K. Sadarangani, On generalized coupled fixed points with applications to the solvability of coupled systems of nonlinear quadratic integral equations, Fixed Point Theory 18 (2) (2017).
• M. Benchohra, S. Bouriah and M.A. Darwish, Nonlinear boundary value problem for implicit differential equations of fractional order in Banach spaces, Fixed Point Theory 18 (2) (2017), 457-470.
• S. Abbas, M. Benchohra and M.A. Darwish, Some existence stability results for abstract fractional differential inclusions with not instantaneous impulses, Mathematical Reports 19 (2) (2017), 245-262.
• K. Aissani, M. Benchohra and M.A. Darwish, Semilinear fractional order integro-differential inclusions with infinite delay, Georgian Mathematical Journal, Published Online: 13-01-2017.
• M.A. Darwish and S.K. Ntouyas, Existence results for nonlinear generalized three-point boundary value problems for fractional differential equations and inclusions, Journal of Computational Analysis and Applications 22 (3) (2017), 507-526.
• S. Abbas, M. Benchohra and M.A. Darwish, Upper and lower solutions method for partial discontinuous fractional differential inclusions with not instantaneous impulses, Discussiones Mathematicae Differential Inclusions, Control and Optimization 36 (2) (2016), 155–179.
• M.A. Darwish, J. Henderson and K. Sadarangani, Solvability of a maximum quadratic integral equation of arbitrary orders, Advances in Dynamical Systems and Applications 11 (2) (2016), 93-104.
• S. Abbas, M. Benchohra and M.A. Darwish, Some new existence results and stability concepts for fractional partial random differential equations, Journal of Mathematics and Applications 33 (2016), 5–22.
• J. Caballero, M.A. Darwish and K. Sadarangani, A perturbed quadratic equation involving Erdélyi–Kober fractional integral, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 110 (2) (2016), 541–555.
• M.A. Darwish, On Erdélyi–Kober fractional Urysohn–Volterra quadratic integral equations, Appl. Math. Comput. 273 (2016), 562-569.
• S. Abbas, W.A. Albarakati, M. Benchohra, M.A. Darwish and E.M. Hilal, New existence and stability results for partial fractional differential inclusions with multiple delay, Annales Polonici Mathematici 114 (1) (2015), 81-100.
• M.A. Darwish and K. Sadarangani, Nonincreasing solutions of a functional integral equation with Carathéodory perturbed, Mediterranean Journal of Mathematics 12 (1) (2015), 63-76.
• M.A. Darwish and K. Sadarangani, Existence of solutions for hybrid fractional pantograph equations, Applicable Analysis and Discrete Mathematics 9 (2015), 150-167.
• J. Banaś, M.A. Darwish, L. Olszowy and K. Sadarangani, Existence and asymptotic behaviour of solutions of differential and integral equations in some function spaces, Journal of Function Spaces, Volume 2015, Article ID 235043, 3 pages.
• S. Abbas, M. Benchohra and M.A. Darwish, New stability results for partial fractional differential inclusions with not instantaneous impulses, Fractional Calculus and Applied Analysis 18 (1) (2015), 172-191.
• M.A. Darwish and K. Sadarangani, On a quadratic integral equation with supremum involving Erdélyi-Kober fractional order, Mathematische Nachrichten 288 (5-6) (2015), 566–576.
• K. Aissani, M. Benchohra and M.A. Darwish, Controllability of fractional order integro-differential inclusions with infinite delay, Electron. J. Qual. Theory Differ. Equ., Volume 2014 (52) (2014), 1-18.
• M.A. Darwish, B.S. Kashkari and K. Sadarangani, On a functional-integral equation with deviating arguments, Appl. Math. Comput. 246 (2014), 64–70.
• M.A. Darwish and S.K. Ntouyas, Existence results for first order boundary value problems for fractional differential equations with four-point integral boundary conditions, Miskolc Math. Notes 15 (1) (2014), 51-61.
• A. Chlebowicz, M.A. Darwish and K. Sadarangani, Existence and asymptotic stability of solutions of a functional integral equation via a consequence of Sadowskii's theorem, Journal of Function Spaces, Volume 2014,  Article ID 324082, 9 pages.
• J. Caballero, M.A. Darwish, K. Sadarangani and W. Shammakh, Existence results for a coupled system of nonlinear fractional hybrid differential equations with homogeneous boundary conditions, Abstract and Applied Analysis, Volume 2014, Article ID 672167, 10 pages.
• M.A. Darwish and B. Rzepka, Asymptotically stable solutions of a generalized fractional quadratic functional-integral equation of Erdélyi-Kober type, Journal of Function Spaces, Volume 2014, Article ID 192542, 9 pages.
• J. Caballero, M.A. Darwish and K. Sadarangani, Existence of solutions for a fractional hybrid boundary value problem via measures of noncompactness in Banach algebras, Topological Methods in Nonlinear Analysis 43 (2) (2014), 535-548.
• M.A. Darwish and J. Banaś, Existence and characterization of solutions of nonlinear Volterra-Stieltjes integral equations in two variables, Abstract and Applied Analysis, Volume 2014, Article ID 618434, 11 pages.
• H.O. Bakodah and M.A. Darwish, Numerical solutions of quadratic integral equations, Life Science Journal 11 (9) (2014), 73-77.
• M.A. Darwish and B.S. Kashkari, Numerical solutions of second order initial value problems of Bratu-type via optimal homotopy asymptotic method, American Journal of Computational Mathematics 4 (2) (2014), 47-54.
• M.A. Darwish and K. Sadarangani, On Erdélyi-Kober type quadratic integral equation with linear modification of the argument, Appl. Math. Comput. 238 (2014), 30-42.
• J. Caballero, M.A. Darwish and K. Sadarangani, Solvability of a quadratic integral equation of Fredholm type in Hölder spaces, Electronic Journal of Differential Equations, Volume 2014 (31), 10 pages.
• H.O. Bakodah and M.A. Darwish, Solving Hammerstein type integral equation by new discrete Adomian decomposition methods, Mathematical Problems in Engineering, Volume 2013, Article ID 760515, 5 pages.
• M.A. Darwish, J. Banaś and E.O. Alzahrani, The existence and attractivity of solutions of an Urysohn integral equation on an unbounded interval, Abstract and Applied Analysis, Volume 2013 (2013), Article ID 147409, 9 pages.
• M.A. Darwish and B.S. Kashkari, On a fuzzy Urysohn integral equation, International Mathematical Forum 8 (40) (2014), 1955-1962.
• J. Caballero, M.A. Darwish and K. Sadarangani, Solvability of a fractional hybrid initial value problem with supremum by using measures of noncompactness in Banach algebras, Appl. Math. Comput. 224 (1) (2013), 553-563.
• M.A. Darwish, Monotonic solutions of a convolution functional-integral equation, Appl. Math. Comput. 219 (22) (2013), 10777-10782.
• M.A. Darwish and K. Sadarangani, Nondecreasing solutions of a quadratic Abel equation with supremum in the kernel, Appl. Math. Comput. 219 (14) (2013), 7830–7836.
• H.O. Bakodah and M.A. Darwish, On discrete Adomian decomposition method with Chebyshev abscissa for nonlinear integral equations of Hammerstein type, Advances in Pure Mathematics 2 (5) (2012), 310-313.
• M.A. Darwish and J. Henderson, Nondecreasing solutions of a quadratic integral equation of Urysohn-Stieltjes type, Rocky Mountain J. Math. 42 (2) (2012), 545-566.
• M.A. Darwish, On a perturbed functional integral equation of Urysohn type, Appl. Math. Comput.  218 (2012), 8800–8805.
• M.A. Darwish and S.K. Ntouyas, On a quadratic fractional Hammerstein–Volterra integral equation with linear modification of the argument, Nonlinear Analysis: Theory, Methods & Applications 74 (2011), 3510-3517.
• M.A. Darwish and S.K. Ntouyas, Existence of monotone solutions of a perturbed quadratic integral equation of Urysohn type, Nonlinear Stud. 18(2) (2011), 155-165.
• M.A. Darwish, On a perturbed quadratic fractional integral equation of Abel type, Comput. Math. Appl. 61 (2011) 182-190.
• M.A. Darwish, Nondecreasing solutions of a fractional quadratic integral equation of Urysohn-Volterra type, Dynam. Syst. Appl. 20 (2011), 423-438.
• M.A. Darwish, J. Henderson and D. O'Regan, Existence and asymptotic stability of solutions of a perturbed fractional functional-integral equation with linear modification of the argument, Bull. Korean Math. Soc. 48 (3) (2011), 539-553.
• M. Benchohra and  M.A. Darwish, On quadratic integral equations of Urysohn type in Fre'chet spaces,  Acta Math. Univ. Comenian. (N.S.) LXXIX, 1 (2010), 105-110.
• M.A. Darwish and S.K. Ntouyas, On initial and boundary value problems for fractional order mixed type functional differential inclusions, Comput. Math. Appl. 59 (2010) 1253-1265.
• M.A. Darwish and K. Sadarangani, On existence and asymptotic stability of solutions of a functional-integral equation of fractional order, Journal of Convex Analysis 17 (2) (2010), 413-426.
• M.A. Darwish and S.K. Ntouyas, Monotonic solutions of a perturbed quadratic fractional integral equation, Nonlinear Analysis: Theory, Methods & Applications 71 (2009), 5513-5521.
• M.A. Darwish and S.K. Ntouyas, Functional differential equations of fractional order with state-dependent delay, Dynam. Syst. Appl. 18 (2009), 539-550.
• M.A. Darwish and S.K. Ntouyas, Existence results for perturbed functional differential equations of mixed type with fractional order, Nonlinear Stud. 16 (3) (2009), 289-298.
• M.A. Darwish, J. Henderson and S.K. Ntouyas, Fractional order semilinear mixed type functional differential equations and inclusions, Nonlinear Stud. 16 (2) (2009), 1-22.
• M.A. Darwish and S.K. Ntouyas, Semilinear Functional differential equations of fractional order with state-dependent delay, Electron. J. Differential Equations 2009 (38) (2009), 1-10.
• M.A. Darwish,  On existence and asymptotic behaviour of solutions of a fractional integral equation, Appl. Anal. 88 (2) (2009), 169-181.
• M.A. Darwish and J. Henderson, Existence and asymptotic stability of solutions of a perturbed quadratic fractional integral equation, Fract. Calc. Appl. Anal. 12 (1) (2009), 71-86.
• M. Benchohra and M.A. Darwish, On unique solvability of quadratic integral equations with linear modification of the argument, Miskolc Math. Notes 10 (1) (2009), 3-10.
• M.A. Darwish and J. Henderson, Solvability of a functional integral equation under Carathe'odory conditions, Comm. Appl. Nonlinear Anal. 16(1) (2009), 23-36.
• M.A. Darwish and S.K. Ntouyas, Boundary value problems for fractional functional differential equations of mixed type, Commun. Appl. Anal. 13 (1) (2009), 31-38.
• M.A. Darwish,  On existence of fuzzy integral equation of Urysohn-Volterra type, Discuss. Math. Differ. Incl. Control Optim. 28 (2008), 75-82.
• M.A. Darwish and S.K. Ntouyas, Existence results for a fractional functional differential equation of mixed type, Comm. Appl. Nonlinear Anal. 15 (3) (2008), 47-55.
• M.A. Darwish, Monotonic solutions of a functional integral equation of Urysohn type, Panamer. Math. J. 18 (4) (2008), 17-28.
• M. Benchohra and M.A. Darwish, Existence and uniqueness theorem for fuzzy integral equation of fractional order, Commun. Appl. Anal. 12(1) (2008), 13-22.
• M.A. Darwish, On a quadratic fractional integral equation with linear modification of the argument, Can. Appl. Math. Q. 16 (1) (2008), 45-58.
• M.A. Darwish, On monotonic solutions of an integral equation of Abel type, Math. Bohem. 133 (4) (2008), 407-420.
• M.A. Darwish, On monotonic solutions of a singular quadratic integral equation with supremum, Dynam. Syst. Appl. 17 (2008), 539-550.
• M.A. Darwish, On solvability of some quadratic functional-integral equation in Banach algebra, Commun. Appl. Anal. 11 (3-4) (2007), 441-450.
• M.A. Darwish, On global attractivity of solutions of a functional-integral equation, Electron. J. Qual. Theory Differ. Equ. 21 (2007), 10 pp.
• M.A. Darwish,  On Fredholm-Stieltjes quadratic integral equation with supremum, IC/2007/089, Trieste, Italy (2007), 1-15.
• M.A. Darwish, On a singular quadratic integral equation of Volterra type with supremum, IC/2007/071, Trieste, Italy (2007), 1-13.
• M.A. Darwish, Solvability of Urysohn and Urysohn-Volterra equations with hysteresis in weighted spaces,  Appl. Math. Comput. 176 (2) (2006), 722-726.
• M.A. Darwish and A.A. El-Bary, Existence of fractional integral equation with hysteresis, Appl. Math. Comput. 176 (2) (2006), 684-687.
• M.A. Darwish, On quadratic integral equation of fractional orders, J. Math. Anal. Appl. 311 (1) (2005), 112-119.
• M.A. Darwish, On nonlinear Fredholm-Volterra integral equations with hysteresis, Appl. Math. Comput. 156 (2) (2004), 479-484.
• W.G. El-Sayed, A.A. El-Bary and  M.A. Darwish, Solvability of Urysohn integral equation, Appl. Math. Comput. 145 (2-3) (2003), 487-493.
• M.A. Darwish, Weakly singular functional-integral equation in infinite dimensional Banach spaces, Appl. Math. Comput. 136 (1) (2003), 123-129.
• M.A. Darwish, On integral equations of Urysohn-Volterra type, Appl. Math. Comput. 136 (1) (2003), 93-98.
• M.A. Darwish, On solvability of Urysohn-Volterra equations with hysteresis in weighted spaces, J. Integral Equations Appl. 14 (2) (2002), 151-163.
• A.A. El-Bary, M.A. Darwish and W.G. El-Sayed, On an existence theorem for Urysohn integral equations via measure of noncompactness, Math. Sci. Res. J. 6(9) (2002), 441-448.
• M.A. Darwish, On integrable solutions of a functional-integral equation, Soochow J. Math. 28 (2) (2002), 235-244.
• M.A. Darwish, Hysteresis in Urysohn-Volterra systems, Electron. J. Qual. Theory Differ. Equ. 4 (1999), 8 pp.
• M.H. Fahmy, M.A. Abdou and M.A. Darwish, On the solution of an integral equation appearing in displacement problems, Southwest J. Pure Appl. Math. 1 (2000), 84-88.
• M.A. Darwish, Note on stability theorems for nonlinear mixed integral equations, Korean J. Comput. Appl. Math. 6 (3) (1999), 633-637.
• M.H. Fahmy, M.A. Abdou and M.A. Darwish, Integral equations and potential-theoretic type integrals of orthogonal polynomials, J. Comput. Appl. Math. 106 (2) (1999), 245-254.
• M.H. Fahmy, M.A. Abdou and M.A. Darwish, On the numerical solution of integral equations of the second kind with weakly singular kernels, Korean J. Comput. Appl. Math. 6 (2) (1999), 401-409.
• M.A. Darwish, On a system of nonlinear integral equations with hysteresis, Korean J. Comput. Appl. Math. 6 (2) (1999), 305-313.
• M.A. Darwish, Fredholm-Volterra integral equation with singular kernel, Korean J. Comput. Appl. Math. 6 (1) (1999), 163-174.
• M.A. Darwish, Global existence and uniqueness of continuous solution of Urysohn-Volterra equation, Pure Math. Appl. 9 (3-4) (1998), 277-282.
• M.A. Abdou, S.A. Mahmoud and M.A. Darwish, A numerical method for solving the Fredholm integral equation of the second kind, Korean J. Comput. Appl. Math.  5 (2) (1998), 251-258.