Browsing by Subject "Negative Lower Bound"

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Analysing discrete fractional operators with exponential kernel for positivity in lower boundedness

Mahmood, Sarkhel Akbar; Mohammed, Pshtiwan Othman; Baleanu, Dumitru; Aydi, Hassen; Hamed, Yasser S. (2022)

In this paper we study the positivity analysis problems for discrete fractional operators with exponential kernel, namely the discrete Caputo-Fabrizio operators. The results are applied to a discrete Caputo-Fabrizio-Caputo ...
On convexity analysis for discrete delta Riemann–Liouville fractional differences analytically and numerically

Baleanu, Dumitru; Mohammed, Pshtiwan Othman; Srivastava, Hari Mohan; Al-Sarairah, Eman; Abdeljawad, Thabet; Hamed, Y.S. (2023)

In this paper, we focus on the analytical and numerical convexity analysis of discrete delta Riemann–Liouville fractional differences. In the analytical part of this paper, we give a new formula for the discrete delta ...
Positivity analysis for mixed order sequential fractional difference operators

Mohammed, Pshtiwan Othman; Baleanu, Dumitru; Abdeljawad, Thabet; Sahoo, Soubhagya Kumar; Abualnaja, Khadijah M. (2023)

We consider the positivity of the discrete sequential fractional operators( RL a0 +1∇ν1 defined on the set D1 (see (1.1) and Figure 1) and( RL a0 +2∇ν1 RL a0 ∇ν2 f) (τ) RL a0 ∇ν2 f) (τ) of mixed order defined on the set ...

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