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Application of Jumarie-Stancu collocation series method and multi-Step

55. Song H, Yi M, Huang J, Pan Y. Numerical Mittag-Leffler kernel. Comput Methods Programs
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56. Lu H, Bates PW, Chen W, Zhang M. The spectral net killing rate. Mathemat. 2025; 13:536.
collocation method for efficiently solving PDEs 70. Hardik J. Mechanistic insights of COVID-19 dy-
with fractional Laplacian. Adv Comput Math. namics by considering the influence of neurode-
2017;44(6):861–878. generation and memory trace. Physica Scrip.
57. Odibat Z, Momani S, Erturk VS. Generalized dif- 2024;99(3):35254.
ferential transform method: Application to dif- 71. Joshi H, Jha BK. Generalized diffusion character-
ferential equations of fractional order. Appl Math istics of Calcium model with concentration and
Comput. 2008;197(2):467-477. memory of cells: a spatiotemporal approach. Iran
58. Momani S, Odibat Z. A novel method for nonlin- J Sci Technol Trans Sci. 2022;46:309–322.
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bination of DTM and generalized Taylor’s for- cal modeling of middle east respiratory syndrome
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59. Odibat Z, Momani S. A generalized differential Math [Internet]. 2024;5(3):3997-4012.
transform method for linear partial differential 73. Erturk V, Zaman G, Momani S. A numeric ana-
equations of fractional order. Appl Math Lett. lytic method for approximating a giving up smok-
2008;21(2):194-199. ing model containing fractional derivatives. Com-
60. Erturk VS, Momani S, Odibat Z. Appli- put E Math Appl. 2012;64(10):3065-3074.
cation of generalized differential transform 74. Elsadany AEA, El-Metwally HA, Elabbasy EM,
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61. Odibat ZM, Bertelle C, Aziz-Alaoui MA, 75. Shabestari PS, Panahi S, Hatef B, et al. A new
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form method and application to non-chaotic 2018;112:44-51.
or chaotic systems. Comput E Math Appl.
2010;59(4):1462-1472.
62. Ert¨urk VS, Odibat ZM, Momani S. An ap-
Sayed Saber Sayed Saber is a Professor of Mathemat-
proximate solution of a fractional order differ-
ics at Al-Baha University, Saudi Arabia, and Beni-
ential equation model of human T-cell lym- Suef University, Egypt. His research interests span
+
photropic virus I (HTLV-I) infection of CD4 4 T-
several complex variables, fractional calculus, chaos
cells. Comput E Mathem Appl 2011;62(3):996-
theory, and advanced computational methods with a
1002.
focus on biomedical systems. He has published ex-
63. Odibat ZM, Bertelle C, Aziz-Alaoui MA,
tensively in the areas of complex analysis and applied
Duchamp GHE. A multistep differential trans-
mathematics, with a particular emphasis on nonlinear
form method and application to non-chaotic
dynamics and fractional differential equations. Prof.
or chaotic systems. Comput Mathemat Appl.
Dr. Saber has made significant contributions to the
2010;59(4):1462-1472.
development and analysis of advanced techniques for
64. Erturk VS, Odibat ZM, Momani S. An approx-
solving D-bar equations on complex manifolds and in-
imate solution of a fractional order differential
vestigating complex systems behavior. He is also rec-
equation model of human T-cell lymphotropic
ognized for his pioneering work in chaos control and
virus I (HTLV-I) infection of CD4 T-cells. Com-
fractional-order modeling, especially in biomedical and
put Math Appl. 2011;62(3):996– 1002.
epidemiological applications.
65. Asad Freihat A, Momani S. Application of multi-
https://orcid.org/0000-0002-5790-3222
step generalized differential transform method for
the solutions of the fractional-order chua’s sys-
tem. Discrete Dyn Nat Soc. 2012; 2012:427393. Brahim Dridi Brahim Dridi is an Associate Pro-
66. Liu C-S. Counterexamples on Jumarie’s three fessor of Mathematics at Umm Al-Qura University
basic fractional calculus formulae for non- in Makkah, Saudi Arabia. His research centers on
differentiable continuous functions. Chaos Solit partial differential equations, with a focus on non-
Fract. 2018;109:219-222. linear problems involving exponential and logarithmic
67. . Odibat Z, Momani S, Erturk VS. Generalized weights, as well as Kirchhoff-type equations. He has
differential transform method: application to dif- published extensively in peer-reviewed journals such as
ferential equations of fractional order. Appl Math Mediterranean Journal of Mathematics, Mathematis-
Comput. 2008;197(2):467–477. che Nachrichten, and Acta Applicandae Mathemat-
68. Joshi H, Yavuz M, Taylan O, Alkabaa A. icae. His recent work explores critical exponential
Dynamic analysis of fractal-fractional cancer growth, N-Laplacian equations, and sign-changing so-
model under chemotherapy drug with generalized lutions in weighted frameworks. Dr. Dridi actively
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