References

[1] Kanth. A. S. V. R., (2007). Cubic spline polynomial for non-linear singular two-point boundary value problems. Appl. Math. 189, 2017–2022.

[2] T.Qawasmeh,R.Hatamleh,(2023).A new contraction based on H-simulation functions in the frame of extended b-metric spaces and application‏,International Journal of Electrical and Computer Engineering  13 (4),4212- 4221.

[3] Salama, A. Dalla, R. Al, M. Ali, R. (2022). On Some Results About The Second Order Neutrosophic, Differential Equations By Using Neutrosophic Thick Function. Journal of Neutrosophic and Fuzzy Systems, 4(1), 30-40. DOI: https://doi.org/10.54216/JNFS.040104

 [4] Hatamleh, R. (2003). On the Form of Correlation Function for a Class of Nonstationary Field with a Zero Spectrum.The Rocky Mountain Journal of Mathematics, 33(1)159-173.

(Doi: https://doi.org/10.1216/rmjm/1181069991).

[5] Ayman Hazaymeh, Rania Saadeh, Raed Hatamleh, Mohammad W Alomari, Ahmad Qazza, (2023). A Perturbed Milne’s Quadrature Rule for n-Times Differentiable Functions with Lp-Error Estimates, Axioms-MDPI, 12(9), 803.

[6] Noori Skandari. M.H. Kamyad.A.V.Effati.; S. (2016).Smoothing approach for a class of nonsmooth optimal control problems. Applied Mathematical Modelling, 40(2), 886–903.

[7] Salama, A. Al, M. Dalla, R. Ali, R. (2022). A Study of Neutrosophic Differential Equations By Using the One-Dimensional Geometric AH-Isometry Of NeutrosophicLaplace Transformation. Journal of Neutrosophic and Fuzzy Systems, 4(2), 08-25. DOI: https://doi.org/10.54216/JNFS.040201

 [8] Hatamleh, R.,Zolotarev,V.A.(2016).Triangular Models of Commutative Systems of Linear Operators Close to Unitary Operators. Ukrainian Mathematical Journal, 68(5), 791–811.

(Doi: https://doi.org/10.1007/s11253-016-1258-6).

[9] Kumar.M.; Gupta.Y., ( 2010). Methods for solving singular boundary value problems using splines.A review, J. Appl. Math. 32, 265–278.

[10] Kumar. M. (2003). A difference method for singular two-point boundary value problems. Applied Mathematics and Computation, 146 (2-3),879–884.

[11] Aswad, M., “A Study of The Integration of Neutrosophic Thick Function", International Journal of neutrosophic Science, 2020.

[12] Kanth. A. S. V. R.; Reddy.Y.N.(2004).Higher order finite difference method for a class of singular boundary value problems. Appl. Math. Comput., 155, 249-258.

[13] Noori Skandari. M. H.; Ghaznavi. M.,(2018). A novel technique for a class of singular boundary value problems. Shahrood University of Technology, Shahrood, Iran, 6|(1), pp. 40-52.

[14] Hatamleh, R., Zolotarev, V. A.( 2015).On Model Representations of Non-Selfadjoint Operators with Infinitely Dimensional Imaginary Component. Journal of Mathematical Physics, Analysis, Geometry,11(2), 174–186. https://doi.org/10.15407/mag11.02.174.          

[15] Hasan.Y.Q.;Zhu.L.M.;Solving singular boundary value problems of higher-order ordinary differential equations by modified Adomian decom-position method Commun. Nonlinear Sci. Numer. Simul., 14,2592-2596.

[16] Hatamleh, R.,Zolotarev,V.A.(2014). On Two-Dimensional Model Representations of One Class of Commuting Operators. Ukrainian Mathematical Journal, 66(1), 122-144.

(Doi: https://doi.org/10.1007/s11253-014-0916-9).

[17] T.Qawasmeh, A.Qazza,R.Hatamleh,M.W.Alomari,R.Saadeh.(2023).Further accurate numerical radius inequalities‏. Axiom-MDPI, 12 (8), 801.

[18] Ayman Hazaymeh, Ahmad Qazza, Raed Hatamleh,Mohammad W. Alomari, Rania Saadeh.(2023).On Further Refinements of Numerical Radius Inequalities,Axiom-MDPI,12(9),807.

[19] Heilat, A. S., Zureigat, H., Hatamleh, R., Batiha, B. (2021). New Spline Method for Solving Linear Two-Point Boundary Value Problems. European Journal of Pure and Applied Mathematics, 14(4), 1283–1294.( Doi: https://doi.org/10.29020/nybg.ejpam.v14i4.4124)

[20] Batiha, B., Ghanim, F., Alayed, O., Hatamleh, R., Heilat, A. S., Zureigat, H., & Bazighifan, O. (2022). Solving Multispecies Lotka–Volterra Equations by the Daftardar-Gejji and Jafari Method. International Journal of Mathematics and Mathematical Sciences, 2022, 1–7.  (Doi:https://doi.org/10.1155/2022/1839796).

[21] Heilat, A. S., Batiha,B , T. Qawasmeh, Hatamleh R.(2023). Hybrid Cubic B-spline Method for Solving A Class of Singular Boundary Value Problems. European Journal of Pure and Applied Mathematics, 16(2), 751-762. (DOI: https://doi.org/10.29020/nybg.ejpam.v16i2.4725).

 [22] Edduweh, H., & Roy, S. (2024). A Liouville optimal control framework in prostate cancer. Applied Mathematical Modelling.

‏ [23] Alrwashdeh, D. Alkhouli, T. Soiman, A. Allouf, A. Edduweh, H. Al-Husban, A. (2025). On Two Novel Generalized Versions of Diffie-Hellman Key Exchange Algorithm Based on Neutrosophic and Split-Complex Integers and their Complexity Analysis. Journal of International Journal of Neutrosophic Science, 25( 2), 01-10. DOI: https://doi.org/10.54216/IJNS.250201

[24] Abdallah Al-Husban & Abdul Razak Salleh 2015. Complex fuzzy ring. Proceedings of 2nd International Conference on Computing, Mathematics and Statistics. Pages. 241-245. Publisher: IEEE 2015.

[25] Al-Shbeil, I., Djenina, N., Jaradat, A., Al-Husban, A., Ouannas, A., & Grassi, G. (2023). A new COVID-19 pandemic model including the compartment of vaccinated individuals: global stability of the disease-free fixed point. Mathematics, 11(3), 576.‏

[26] Shihadeh, A., Matarneh, K. A. M., Hatamleh, R., Hijazeen, R. B. Y., Al-Qadri, M. O., & Al-Husban, A. (2024). An Example of Two-Fold Fuzzy Algebras Based On Neutrosophic Real Numbers. Neutrosophic Sets and Systems, 67, 169-178.‏

[27] Abdallah Shihadeh, Khaled Ahmad Mohammad Matarneh, Raed Hatamleh, Mowafaq Omar Al-Qadri, Abdallah Al-Husban. (2024). On the Two-Fold Fuzzy n-Refined Neutrosophic Rings For 2 ≤3. Neutrosophic Sets and Systems, 68, 8-25.‏

[28] Al-Husban, A., Al-Qadri, M. O., Saadeh, R., Qazza, A., & Almomani, H. H. (2022). Multi-fuzzy rings. 

WSEAS Transactions on Mathematics, 21, 701-706.

[29] Hamadneh, T., Hioual, A., Alsayyed, O., Al-Khassawneh, Y. A., Al-Husban, A., & Ouannas, A. (2023). The FitzHugh–Nagumo Model Described by Fractional Difference Equations: Stability and Numerical Simulation. Axioms, 12(9), 806.