Monotone Iterative Method for Initial Value Problem to Fractional Differential Equations of Variable-Order of Variable-Order

Zhang, Xuping; Jia, Yuxi; An, Jiahui

doi:10.46719/dsa20213027

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2024

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“…Lemma 3 (see [45]). Let u: c ⟶ (1, 2] be a continuous function, then the variable order fractional integral I u(s)…”

Section: Preliminariesmentioning

confidence: 99%

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Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations

Bouazza,

Souid,

Günerhan

et al. 2024

Complexity

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The problem of boundary values for implicit differential equations with nonlinear fractions involving the variable order and the Riemann–Liouville derivative is examined in this article along with its existence and stability. Specifically, the locally solvability, which is equivalent to the existence of solutions, is related to the symmetry of a transformation of a nonlinear equations system. To demonstrate the reliability of the found results, we design an example.

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“…Lemma 3 (see [45]). Let u: c ⟶ (1, 2] be a continuous function, then the variable order fractional integral I u(s)…”

Section: Preliminariesmentioning

confidence: 99%

“…Defnition 5 (see [49][50][51]). If I of R is either an interval, a point a 1 􏼈 􏼉, or the empty set, it is referred to as a generalized interval.…”

Section: Preliminariesmentioning

confidence: 99%

Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations

Bouazza,

Souid,

Günerhan

et al. 2024

Complexity

View full text Add to dashboard Cite

show abstract

Monotone Iterative Method for Initial Value Problem to Fractional Differential Equations of Variable-Order of Variable-Order

Cited by 1 publication

References 0 publications

Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations

Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations

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