أعضاء هيئة التدريس | مواقع أعضاء هيئة التدريس

د.محمد متولى عطيه متولى

أستاذ مشارك قسم الرياضيات كلية العلوم والدراسات الانسانية بالخرج

الخرج - حى الخزامى
011-588-8888
m.metwali@psau.edu.sa

السيرة الذاتية
الأبحاث العلمية

المؤهلات العلمية

الاهتمامات البحثية

• Differential Equations, Integral Equations, Functional Equations.
• Set valued analysis and application to optimal Control.
• Time Scale analysis.
• Numerical solutions for (differential, Integral Equations).
• Fractional Calculus.
• Mathematical Biology.
• Fixed point Theory and applications.
• Solutions in different function spaces

الخبرات

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
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 - حتى الآن - Associate Professor of Mathematics - Prince Sattam bin Abdulaziz University

الأبحاث العلمية

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).

للاتصال من داخل الجامعة 1200
للاتصال من خارج الجامعة 011-588-1200
البريد الإلكترونى pr@psau.edu.sa
لطلب خدمة وفتح بلاغ للأعطال ithelp.psau.edu.sa

مواقع أعضاء هيئة التدريس

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مواقع أعضاء هيئة التدريس

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