Blowing-Up Solution of a System of Fractional Differential Equations With Variable Order

Muhammad Rizki Fadillah; Mokhtar Kirane

doi:10.1002/mma.10838

Blowing-Up Solution of a System of Fractional Differential Equations With Variable Order

Muhammad Rizki Fadillah
, Mokhtar Kirane

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We investigated the necessary condition for blowing-up solutions in finite time of the system (Formula presented.), where (Formula presented.) such that (Formula presented.) and (Formula presented.) is Riemann-Liouville derivative of order (Formula presented.) of type 1. Our method uses a suitable test function in the weak formulation of the problem.

Original language	British English
Journal	Mathematical Methods in the Applied Sciences
DOIs	https://doi.org/10.1002/mma.10838
State	Accepted/In press - 2025

Keywords

blow-up time
fractional derivative with variable order
nonlinear system

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10.1002/mma.10838

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title = "Blowing-Up Solution of a System of Fractional Differential Equations With Variable Order",

abstract = "We investigated the necessary condition for blowing-up solutions in finite time of the system (Formula presented.), where (Formula presented.) such that (Formula presented.) and (Formula presented.) is Riemann-Liouville derivative of order (Formula presented.) of type 1. Our method uses a suitable test function in the weak formulation of the problem.",

keywords = "blow-up time, fractional derivative with variable order, nonlinear system",

author = "\{Rizki Fadillah\}, Muhammad and Mokhtar Kirane",

note = "Publisher Copyright: {\textcopyright} 2025 The Author(s). Mathematical Methods in the Applied Sciences published by John Wiley \& Sons Ltd.",

year = "2025",

doi = "10.1002/mma.10838",

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journal = "Mathematical Methods in the Applied Sciences",

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T1 - Blowing-Up Solution of a System of Fractional Differential Equations With Variable Order

AU - Rizki Fadillah, Muhammad

AU - Kirane, Mokhtar

PY - 2025

Y1 - 2025

N2 - We investigated the necessary condition for blowing-up solutions in finite time of the system (Formula presented.), where (Formula presented.) such that (Formula presented.) and (Formula presented.) is Riemann-Liouville derivative of order (Formula presented.) of type 1. Our method uses a suitable test function in the weak formulation of the problem.

AB - We investigated the necessary condition for blowing-up solutions in finite time of the system (Formula presented.), where (Formula presented.) such that (Formula presented.) and (Formula presented.) is Riemann-Liouville derivative of order (Formula presented.) of type 1. Our method uses a suitable test function in the weak formulation of the problem.

KW - blow-up time

KW - fractional derivative with variable order

KW - nonlinear system

UR - https://www.scopus.com/pages/publications/85218692858

U2 - 10.1002/mma.10838

DO - 10.1002/mma.10838

M3 - Article

AN - SCOPUS:85218692858

SN - 0170-4214

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

ER -

Blowing-Up Solution of a System of Fractional Differential Equations With Variable Order

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Keywords

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