This paper addresses the numerical solution of nonlinear time-fractional Fisher equations via local meshless method combined with explicit difference scheme. This procedure uses radial basis ...functions to compute space derivatives while Caputo derivative scheme utilizes for time-fractional integration to semi-discretize the model equations. To assess the accuracy, maximum error norm is used. In order to validate the proposed method, some non-rectangular domains are also considered.
The smart community (SC), as an important part of the Internet of Energy (IoE), can facilitate integration of distributed renewable energy sources and electric vehicles (EVs) in the smart grid. ...However, due to the potential security and privacy issues caused by untrusted and opaque energy markets, it becomes a great challenge to optimally schedule the charging behaviors of EVs with distinct energy consumption preferences in SC. In this paper, we propose a contract-based energy blockchain for secure EV charging in SC. First, a permissioned energy blockchain system is introduced to implement secure charging services for EVs with the execution of smart contracts. Second, a reputation-based delegated Byzantine fault tolerance consensus algorithm is proposed to efficiently achieve the consensus in the permissioned blockchain. Third, based on the contract theory, the optimal contracts are analyzed and designed to satisfy EVs' individual needs for energy sources while maximizing the operator's utility. Furthermore, a novel energy allocation mechanism is proposed to allocate the limited renewable energy for EVs. Finally, extensive numerical results are carried out to evaluate and demonstrate the effectiveness and efficiency of the proposed scheme through comparison with other conventional schemes.
In the article, we present several quadratic transformation inequalities for Gaussian hypergeometric function and find the analogs of duplication inequalities for the generalized Grötzsch ring ...function.
In this paper, we present the monotonicity properties of the ratio between generalized elliptic integral of the first kind
K
a
(
r
)
and its approximation
log
1
+
2
/
(
a
r
′
)
, and also the ...convexity (concavity) of their difference for
a
∈
(
0
,
1
/
2
. As an application, we give new bounds for generalized Grötzsch ring function
μ
a
(
r
)
and a upper bound for
K
a
(
r
)
.
•Logarithmic spiral path enhances search agents’ exploitation.•The exploration rate is made dynamic to improve the convergence.•The new procedure is tested by minimizing the 29 well known ...functions.•The proposed optimizer is validated using the 6 real cases.
Global continuous optimization is populated by its implementation in many real-world applications. Such optimization problems are often solved by nature-inspired and meta-heuristic algorithms, including the firefly algorithm (FA), which offers fast exploration and exploitation. To further strengthen FA’s search for global optimum, a Levy-flight FA (LF-FA) has been developed through sampling from a Levy distribution instead of the traditional uniform one. However, due to its poor exploitation in local areas, the LF-FA does not guarantee fast convergence. To address this problem, this paper provides an adaptive logarithmic spiral-Levy FA (AD-IFA) that strengthens the LF-FA’s local exploitation and accelerates its convergence. Our AD-IFA is integrated with logarithmic-spiral guidance to its fireflies’ paths, and adaptive switching between exploration and exploitation modes during the search process. Experimental results show that the AD-IFA presented in this paper consistently outperforms the standard FA and LF-FA for 29 test functions and 6 real cases of global optimization problems in terms of both computation speed and derived optimum.
In the article, we present the best possible bounds for the weighted Hölder mean of the complete p-elliptic integrals of the first and second kinds, which are the generalizations of the previously ...results for the complete elliptic integrals.
On approximating the quasi-arithmetic mean Zhao, Tie-Hong; Zhou, Bu-Chuan; Wang, Miao-Kun ...
Journal of inequalities and applications,
02/2019, Volume:
2019, Issue:
1
Journal Article
Peer reviewed
Open access
In this article, we prove that the double inequalities
α
1
7
C
(
a
,
b
)
16
+
9
H
(
a
,
b
)
16
+
(
1
−
α
1
)
3
A
(
a
,
b
)
4
+
G
(
a
,
b
)
4
<
E
(
a
,
b
)
<
β
1
7
C
(
a
,
b
)
16
+
9
H
(
a
,
b
)
...16
+
(
1
−
β
1
)
3
A
(
a
,
b
)
4
+
G
(
a
,
b
)
4
,
7
C
(
a
,
b
)
16
+
9
H
(
a
,
b
)
16
α
2
3
A
(
a
,
b
)
4
+
G
(
a
,
b
)
4
1
−
α
2
<
E
(
a
,
b
)
<
7
C
(
a
,
b
)
16
+
9
H
(
a
,
b
)
16
β
2
3
A
(
a
,
b
)
4
+
G
(
a
,
b
)
4
1
−
β
2
hold for all
a
,
b
>
0
with
a
≠
b
if and only if
α
1
≤
3
/
16
=
0.1875
,
β
1
≥
64
/
π
2
−
6
=
0.484555
…
,
α
2
≤
3
/
16
=
0.1875
and
β
2
≥
(
5
log
2
−
log
3
−
2
log
π
)
/
(
log
7
−
log
6
)
=
0.503817
…
, where
E
(
a
,
b
)
=
(
2
π
∫
0
π
/
2
a
cos
2
θ
+
b
sin
2
θ
d
θ
)
2
,
H
(
a
,
b
)
=
2
a
b
/
(
a
+
b
)
,
G
(
a
,
b
)
=
a
b
,
A
(
a
,
b
)
=
(
a
+
b
)
/
2
and
C
(
a
,
b
)
=
(
a
2
+
b
2
)
/
(
a
+
b
)
are the quasi-arithmetic, harmonic, geometric, arithmetic and contra-harmonic means of
a
and
b
, respectively.
Hydrogen Sulfide (H2S), an endogenously produced gasotransmitter, is involved in various important physiological and disease conditions, including vasodilation, stimulation of cellular bioenergetics, ...anti-inflammation, and pro-angiogenesis. In cancer, aberrant up-regulation of H2S-producing enzymes is frequently observed in different cancer types. The recognition that tumor-derived H2S plays various roles during cancer development reveals opportunities to target H2S-mediated signaling pathways in cancer therapy. In this review, we will focus on the mechanism of H2S-mediated protein persulfidation and the detailed information about the dysregulation of H2S-producing enzymes and metabolism in different cancer types. We will also provide an update on mechanisms of H2S-mediated cancer progression and summarize current options to modulate H2S production for cancer therapy.
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