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 abstractdualitypairs.”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) pp. ,10.3906/mat-2106-

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. CichoǹM. Metwali,On the Banach algebra of integralvariation type Holder spaces and quadratic fractional integral equations Banach J. Math. Anal. (2022) 16:34, .1-22.

27) A. Alsaadi, M. CichoǹM. 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. https://doi.org/10.3390/math10071172

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. DOI: 10.1016/j.jmaa.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 theoremsfor 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 Analysis27(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 a 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.”(April 2023) 53(2): 531-540 .    https://doi.org/10.1216/rmj.2023.53.531

37) M. Metwali, K. Cichoǹ “Solvability of product of n-quadratic integral equations in Orlicz spaces”, Rend. Circ. Mat. Palermo, II. Ser (2023). https://doi.org/10.1007/s12215-023-00916-1

38) M. Metwali, Discontinuous solutions of delay functional-fractional integral equation via measures of noncompactness”, AIMS Mathematics8(9) (2023) 21055-21068. https://doi.org/10.3934/math.20231072

39) M. Metwali, S.Alsallami “On Erdélyi–Kober fractional operator and quadratic integral equations in Orlicz spaces”, Mathematics 2023, 11, 3901.https://doi.org/10.3390/math11183901

40) A.Alsaadi, M.KazemiM. 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”, J. Inequalities and applications 2023.

42) S. F. Aldosary,  M. Metwali, M. Kazemi, A. Alsaadi,“On integrableand approximate solutions for Hadamard fractional quadratic integral equations”, AIMS Mathematics, 9(3) 5746-5762 (2024). Doi:10.3934/math.2024279

43) S. F. Aldosary M. Metwali, “ Solvability of product of n-quadratic Hadamard-type fractional integral equations in Orlicz spaces”,  AIMS Mathematics  (2024).

 

 

 

 

 

 

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