Comprehending the model of omicron variant using fractional derivatives

Sharma, Shivani; Goswami, Pranay; Băleanu, Dumitru; Dubey, Ravi Shanker

doi:10.1080/27690911.2022.2159027

Cited by 14 publications

(2 citation statements)

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“…where A i and B i are Adomian Polynomials. If Equations (9)(10)(11) are substituted in Equation ( 8), we get…”

Section: Elzaki Transform (Local Fractional) Decomposition Methodsmentioning

confidence: 99%

“…A growing area of mathematics called fractional calculus (FC) has diverse applications in all connected sectors of science and problems of engineering. Some of the findings were published in books or related review articles [4][5][6][7][8][9][10][11]. It is interesting to note that these derivatives and integrals are not just mathematical oddities, these models are increasingly being employed in fields such as engineering fields, electrical circuits, digital control systems, fluid movement, and many more [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

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Unveiling new insights: taming complex local fractional Burger equations with the local fractional Elzaki transform decomposition method

Alhamzi,

Prasad,

Alkahtani

et al. 2024

Front. Appl. Math. Stat.

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This study aims to address the difficulties in solving coupled generalized non-linear Burger equations using local fractional calculus as a framework. The methodology used in this work, particularly in the area of local fractional calculus, combines the Elzaki transform with the Adomian decomposition method. This combination has proven to be a highly effective strategy for addressing non-linear partial differential equations within the local fractional context, which finds numerous practical applications. The proposed method offers a systematic and easily understandable procedure for tackling both linear and non-linear partial differential equations (PDEs). It provides an easy-to-follow path to solve these problems. We offer a real-world example that exhibits the method's successful use in resolving issues to corroborate its efficacy. The obtained solution is visually represented to illustrate the practical utility of this approach.2010 Mathematics Subject Classification34A34, 65M06, 26A33.

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“…where A i and B i are Adomian Polynomials. If Equations (9)(10)(11) are substituted in Equation ( 8), we get…”

Section: Elzaki Transform (Local Fractional) Decomposition Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Unveiling new insights: taming complex local fractional Burger equations with the local fractional Elzaki transform decomposition method

Alhamzi,

Prasad,

Alkahtani

et al. 2024

Front. Appl. Math. Stat.

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Fractional‐order modeling of Chikungunya virus transmission dynamics

Chavada,

Pathak,

Khirsariya

2024

Math Methods in App Sciences

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This article presents two innovative mathematical models for the dynamics of Chikungunya virus contamination by using Caputo fractional derivative. By applying the recently developed numerical technique to find the approximate solutions for the Chikungunya virus system which allowing us for the valuable insights. Through a rigorous analysis of the obtained numerical and graphical solutions, the impact of fractional orders on the infection dynamics is thoroughly examined. Additionally, Banach's fix point theorm is used to investigates the existence, uniqueness, and stability properties of the solutions, providing a deeper understanding of the key parameters that affect the spread and persistence of the infection.

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