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Dr.Mohamed Metwali Atia Metwali

Associate Professor Department of Mathematics (MOI:English) College of Science and Humanity Studies in Alkharj
  • Kharj
  • 011-588-8888
  • m.metwali@psau.edu.sa
  • Curriculum Vitae
  • Publications

Education

  • 01 / 2014 Ph.D. in Mathematics “Differential and Integral Equations”, from A. Mickiewicz University in Poznan, Poland.

  • 03 / 2008 Master's in Pure Mathematics from the Faculty of Science, Alexandria University, Egypt.

  • 05 / 2005 B. Sc. in Mathematics, Faculty of Science, Alexandria University, Egypt

  • 05 / 2001 B. Sc. in Mathematics, Faculty of Education, Alexandria, University, Egypt

  • 9/2021--3/2022 Post doctor in Poland (Differential and Integral Equations).

Experience

  • 01/07/2024 - 01\10\2025 - Professor of Mathematics - Damanhour University
  • 05/10/2022 - 18/01/2023 - Head of Dep. of Mathematics - Damanhour University
  • 29/06/2019 - 30/07/2024 - Associate Professor of Mathematics - Damanhour University - Damanhour University
  • 26/03/2014 - 28/06/2019 - Lecturer of Mathematics - Damanhour University
  • 13/05/2008 - 25/03/2014 - Assistant Lecturer at Dep. of Mathematics - Damanhour University
  • 05/06/2003 - 12/05/2008 - Demonstrator at Dep. of Mathematics - Damanhour University
  • 02/10/2024 - until now - Associate Professor of Mathematics - Prince Sattam bin Abdulaziz University

Publications

  • 1) M. Metwali, M. Cichoǹ, “Monotonic solutions for quadratic integral equations”, Discussiones Mathematicae Differential Inclusions, Optimization and Control 31 (2011), 157-171.
  • 2) M. Metwali, M. Cichoǹ, “On quadratic integral equations in Orlicz spaces” Journal of Mathematical Analysis and Applications 387 (2012), 419-432.
  • 3) M. Metwali, M. Cichoǹ, “On monotonic integrable solutions for quadratic functional integral equations” Mediterr. J. Math. 10 (2013), 909-926.
  • 4) M. Metwali, “Solvability of functional quadratic integral equations with perturbation” Opuscula Mathematica 33 (2013), 725-739.
  • 5) M. Metwali, M. Cichoǹ, On Solutions of Quadratic Integral Equations in Orlicz Spaces, Mediterr. J. Math. 12 (2015), 901–920.
  • 6) M. Metwali, M. Cichoǹ, " Existence of monotonic Lφ-solutions for quadratic Volterra functional-integral equations", Electronic Journal of Qualitative Theory of Differential Equations 13 (2015), 1–16.
  • 7) M. Metwali, "On a class of quadratic Uryshon-Hammerstein integral equations of mixed-type and initial value problem of fractional order", Mediterr. J. Math. 13 (2016), 2691–2707.
  • 8) M. Metwali, M. Cichoǹ, “On a fixed point theorem for the product of operators”, J. Fixed Point Theory Appl. 18 (2016) 753 --770.
  • 9) M. Metwali, M. Cichoǹ, “On the existence of solutions for quadratic integral equations in Orlicz spaces, Math. Slovaca 66(6), (2016), 1413—1426.
  • 10) M. Metwali, “On some qualitative properties of integrable solutions for Cauchy-type problem of fractional order” Journal of Mathematics and applications, 40 (2017) 121--134.
  • 11) M. Metwali, K. Cichoǹ, M. Cichoǹ, “On some parameters in the space of regulated functions” Carpathian Jour. Math. 34(1), (2018), 17--30.
  • 12) M. Metwali, R. Agarwal, D. O’Regan “On existence and uniqueness of L1 solutions for quadratic integral equations via a Krasnoselskii type fixed point theorem,” Rocky Mountain J. Math. 48(6), 2018, 1743--1762.
  • 13) M. Metwali, “The solvability of functional quadratic Hammerstein-Urysohn integral equations on the half axis”, Fasciculi Mathematici, 61, 2018.
  • 14) M. Metwali, H. Awad, M. Darwish, “On a cubic integral equation of Urysohn type with linear perturbation of second kind,” Journal of Mathematics and applications, 41 (2018).
  • 15) M. Metwali, K. Cichoǹ, M. Cichoǹ, “On some fixed-point theorems in abstract duality pairs.” Revista de la UMA., 61(2), (2020), 249--266.
  • 16) M. Metwali, “On perturbed quadratic integral equations and initial value problem with nonlocal conditions in Orlicz spaces”, Demonstratio Mathematica, 53, (2020), 86--94.
  • 17) M. Metwali, W. El-Sayed, M. El-Borai, Nagwa I. Shemais, “On the existence of continuous solutions of a nonlinear quadratic fractional integral equation”, Journal of Advances in Mathematics, 18, (2020), 14--25.
  • 18) M. Metwali, W. El-Sayed,M. El-Borai, Nagwa I. Shemais, “On the solvability of a nonlinear functional integral equations via measure of noncompactness in Lp(R+)”, Journal of Advances in Mathematics, 19, (2020), 74--88.
  • 19) M. Metwali, W. El-Sayed,M. El-Borai, Nagwa I. Shemais, “ On Monotonic Solutions of Nonlinear Quadratic Integral Equation of Convolution Type”, Case Studies Journal, 9(10), (2020), 78--87.
  • 20) M. Metwali, W. El-Sayed,M. El-Borai, Nagwa I. Shemais, “An existence theorem for a nonlinear integral equation of Urysohn type in $l^p(R^N)$ ”, Advances in Mathematics: Scientific Journal, 9(11), (2020), 9995–10005.
  • 21) M. Metwali, M. Darwish, D. O'Regan, “Unique solvability of fractional quadratic nonlinear integral equations”, Differential Equations and applications, 13(1), (2021), 1–13.
  • 22) M. Metwali, K. Cichoǹ, “On solutions of some delay Volterra integral problems on a half line”, Nonlinear Analysis: Modelling and Control, 26(4), (2021) 661-677.
  • 23) M. Metwali, “Solvability of Gripenberg's equations of fractional order with perturbation term in weighted Lp-spaces on R+”, TUR. J. MATH. 46(1), (2022).
  • 24) M. Metwali, “Nonlinear quadratic Volterra-Urysohn functional-integral equations in Orlicz spaces”, FILOMAT, 35(9), (2021), 2963–2972.
  • 25) M. Metwali, S. Singh, S. Kumar, S. Aldosary, K. Nisar, “An existence theorem for nonlinear functional Volterra integral equations via Petryshyn's fixed point theorem”, AIMS Mathematics, 7(4), (2022) 5594--5604.
  • 26) M. Cichoǹ, M. Metwali, “On the Banach algebra of integral‑variation type Holder spaces and quadratic fractional integral equations” Banach J. Math. Anal. (2022) 16:34, p.1-22.
  • 27) A. Alsaadi, M. Cichoǹ, M. Metwali, “Integrable solutions for Gripenberg-type equations with m-product of fractional operators and applications to initial value problems,” Mathematics, 10, 1172, (2022) pp. 1-18.
  • 28) M. Metwali,“ Solvability in weighted L1-spaces for the m-product of integral equations and model of the dynamics of the capillary rise,” Journal of Mathematical Analysis and Applications, 515(2), (2022):126461.
  • 29) M. Metwali, “On fixed point theorems and applications to product of $n$-nonlinear integral operators in ideal spaces”, Fixed Point Theory, 23(2), 557-572 (2022).
  • 30) A. Alsaadi, M. Metwali, “On existence theorems for coupled systems of quadratic Hammerstein-Urysohn integral equations in Orlicz spaces, ” AIMS Mathematics, 7(9): 16278–16295 (2022).
  • 31) M. Metwali, “On monotonic $L_\varphi$-solutions for a class of quadratic-Urysohn integral equations”, Journal of Mathematical Inequalities, 16(3), 947–964 (2022).
  • 32) M. Metwali, M. Younis, D. Singh, L. Chen, "A Study on the Solutions of Notable Engineering models", Mathematical Modelling and Analysis 27(3), 492–509 (2022).
  • 33) M. Metwali, “On some properties of Riemann-Liouville fractional operator in Orlicz spaces and applications to quadratic integral equations”, FILOMAT 36 (17) (2022).
  • 34) M. Darwish, M. Metwali, D. O'Regan, “On solvability of quadratic Hammerstein integral equation in Holder spaces”, Matematicki Vesnik”, 74(4), 242—248 (2022).
  • 35) M. Metwali, Vishnu N. Mishra, “On the measure of noncompactness in Lp(R+) with applications to product of n-integral equations”, Turk. J.Math. 47(1) (2023
  • 36) M. Metwali, “Solvability of quadratic Hadamard type fractional integral equations in Orlicz spaces” Rocky Mountain Journal of Mathematics.” 53(2): 531-540 (April 2023).
  • 37) M. Metwali, K. Cichoǹ “Solvability of product of n-quadratic integral equations in Orlicz spaces”, Rend. Circ. Mat. Palermo, II. Ser (2023).
  • 38) M. Metwali, S. Alsallami “Discontinuous solutions of delay functional-fractional integral equation via measures of noncompactness”, AIMS Mathematics, 8(9) (3-7-2023) 21055-21068.
  • 39) M. Metwali, S. Alsallami “ On Erdélyi–Kober fractional operator and quadratic integral equations in Orlicz spaces”, Mathematics 2023, 11, 3901.
  • 40) A. Alsaadi, M. Kazemi, M. Metwali, "On generalization of Petryshyn's fixed point theorem and its application to the product of n-nonlinear integral equations”, AIMS Mathematics, 8(12) (2023) 30562-30573
  • 41) M. Metwali, “On measure of noncompactness in variable exponent Lebesgue spaces and applications to integral equations”, Journal of Inequalities and applications 2023 157 (2023), 1-14.
  • 42) S. F. Aldosary, M. Metwali, M. Kazemi, A. Alsaadi, “On integrable and approximate solutions for Hadamard fractional quadratic integral equations”, AIMS Mathematics, 9(3) 5746-5762 (2024).
  • 43) F. Aldosary, M. Metwali, “ Solvability of product of $n$-quadratic Hadamard-type fractional integral equations in Orlicz spaces”, AIMS Mathematics, 9(5) 11039–11050 (2024).
  • 44) M. Metwali, “On Lϕ-solutions for n-product of fractional integral operators”, Book-Chapter SPRINGER 2024.
  • 45) M. Metwali, M. Kazemi, A.R. Yaghoobnia, “Solutions of fractional functional integro-differential equations via Petryshyn’s fixed point theorem”, International J. Nonlinear Analysis and Appl. 16 (6), 93–105, (2025).
  • 46) A. M. Alotaibi, M. Metwali, H. Taha, R.P. Agarwal, “Existence, uniqueness, continuous dependence on the data for the product of n-fractional integral equations in Orlicz spaces”, AIMS Mathematics, 10(4), 8382–8397, (2025).
  • 47) M. Metwali, S. Alsallami “On qualitative properties of $L_\Theta$-solutions for coupled systems of Hadamard-type fractional integral equations in Banach spaces”, (Accepted-April 2025) (European Journal of Pure and Applied Mathematics).
  • 48) M. Metwali, “On Generalized fractional operator and related quadratic fractional integral equations in Orlicz spaces”, (Submitted 2025).
  • 49) M. Metwali, “Solutions of some nonlinear integral equations in various Banach spaces via measures of noncompactness and fixed point theorems”, (Submitted 2025).
  • 50) H. Sahebi , M. Kazemi, M. Metwali, “On solutions of coupled system of quantum integral equation in Banach spaces”, (Submitted 2025).

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