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Certain Integral Formulas Involving Products of Two Incomplete Beta Functions
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-02)
. Mathematics & Physics 2025, 18(1), 5–13
EDN: ACYSPC
УДК 517.5
Certain Integral Formulas Involving Products of Two
Incomplete Beta Functions
Ahmed Ali Atash∗
Department of Mathematics
Faculty of Education – Shabwah
Shabwah University
Yemen
Received 10...
reserved ⃝ –5– (4) �Ahmed Ali Atash Certain Integral Formulas Involving Products of Two . . . The incomplete beta function is defined as follows [8]: ∫ z ta−1 (1−t)b−1 dt, 06z 61, a,b>0. Bz (a,b)= (5) 0 Further, the substitution t=sin2 (θ) gives...
reserved ⃝ –5– (4) �Ahmed Ali Atash Certain Integral Formulas Involving Products of Two . . . The incomplete beta function is defined as follows [8]: ∫ z ta−1 (1−t)b−1 dt, 06z 61, a,b>0. Bz (a,b)= (5) 0 Further, the substitution t=sin2 (θ) gives...
Kolmogorov System with Explicit Hyperbolic Limit Cycle
(Сибирский федеральный университет. Siberian Federal University, 2017-05)
: txT + bxT−1 + cym + dym−1 + h = 0; (n > 2;m > 2)} : (7)
– 217 –
Salah Benyoucef, Ahmed Bendjeddou Kolmogorov System with Explicit Hyperbolic Limit Cycle
Proof. We will prove that Γ is composed of closed trajectory, it is nonsingular and an invariant...
⇔ h Q (−1)m ( m− 1 c )m−1( d m )m ; q (−b(n− 1) tn ) < 0⇔ h < (−1)m ( m− 1 c )m−1( d m )m + (−1)T ( n− 1 t )T−1( b n )T : – 218 – Salah Benyoucef, Ahmed Bendjeddou Kolmogorov System with Explicit Hyperbolic Limit Cycle We conclude that if h satisfies...
⇔ h Q (−1)m ( m− 1 c )m−1( d m )m ; q (−b(n− 1) tn ) < 0⇔ h < (−1)m ( m− 1 c )m−1( d m )m + (−1)T ( n− 1 t )T−1( b n )T : – 218 – Salah Benyoucef, Ahmed Bendjeddou Kolmogorov System with Explicit Hyperbolic Limit Cycle We conclude that if h satisfies...
Existence and Uniqueness of the Solution for Volterra-Fredholm Integro-Differential Equations
(Сибирский федеральный университет. Siberian Federal University, 2018-12)
(x) is a Cauchy sequence in this Banach space:
‖sx − sm‖∞ = mxx∀x∈J |sx − sm| = mxx∀x∈J
??? x∑
i5(
ui(x)−
m∑
i5(
ui(x)
??? =
– 697 –
Ahmed A.Hamoud, Kirtiwant P.Ghadle Existence and Uniqueness of the Solutions . . .
= mxx
∀x∈J
??? x∑
i5m+)
ui(x)
??? =
= mxx...
+) − sm‖∞ + ‖sm+2 − sm+)‖∞ + · · ·+ ‖sx − sx−)‖∞ 6 6 [ m + m+) + · · ·+ x−)]‖s) − s(‖∞ 6 6 m[1 + + 2 + · · ·+ x−m−)]‖s) − s(‖∞ 6 6 m(1− x−m 1− )‖u)‖∞: – 698 – Ahmed A.Hamoud, Kirtiwant P.Ghadle Existence and Uniqueness of the Solutions...
+) − sm‖∞ + ‖sm+2 − sm+)‖∞ + · · ·+ ‖sx − sx−)‖∞ 6 6 [ m + m+) + · · ·+ x−)]‖s) − s(‖∞ 6 6 m[1 + + 2 + · · ·+ x−m−)]‖s) − s(‖∞ 6 6 m(1− x−m 1− )‖u)‖∞: – 698 – Ahmed A.Hamoud, Kirtiwant P.Ghadle Existence and Uniqueness of the Solutions...
Governance of Local Disaster Management Committees in line with SOD in Bangladesh
(Сибирский федеральный университет, 2017-03-06)
stream_source_info abstract_dmcs_good_governance_saeed_ahmed_siddiquee.pdf.txt
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stream_name abstract_dmcs_good_governance_saeed_ahmed...
_siddiquee.pdf.txt Content-Type text/plain; charset=ISO-8859-1 Governance of Local Disaster Management Committees in line with SOD in Bangladesh Saeed Ahmed Siddiquee1 Due to its geographical location Bangladesh has always been prone to natural disasters...
_siddiquee.pdf.txt Content-Type text/plain; charset=ISO-8859-1 Governance of Local Disaster Management Committees in line with SOD in Bangladesh Saeed Ahmed Siddiquee1 Due to its geographical location Bangladesh has always been prone to natural disasters...
On the p-fold Well-posedness of Higher Order Abstract Cauchy Problem
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)
P (λ) Qk (λ) uk
dλ.
2π Γ
(3.12)
X
k=0
As a consequence of Corollary 2.2, we can able to write
∥um (t)∥X 6
C
2π
∫
m
|λ| etReλ eσ|λ|
Γ
n−1
∑
k=0
for λ ∈ G (a, θ) , where
– 308 –
fk (|λ|) ∥uk ∥X dλ,
(3.13)
�Habiba Toumi, Ahmed Nouar...
< m, 1 tk−m eλt λm−k−1 dλ = k > m. 2πi Γ (k − m)! – 309 – (3.16) �Habiba Toumi, Ahmed Nouar On the p-fold Well-posedness of Higher Order Abstract . . . Proof. Let us introduice the sets ΓR , ∆R , and ∆ as follows: ΓR = {λ ∈ Γ, |λ| 6 R} . ∆R...
< m, 1 tk−m eλt λm−k−1 dλ = k > m. 2πi Γ (k − m)! – 309 – (3.16) �Habiba Toumi, Ahmed Nouar On the p-fold Well-posedness of Higher Order Abstract . . . Proof. Let us introduice the sets ΓR , ∆R , and ∆ as follows: ΓR = {λ ∈ Γ, |λ| 6 R} . ∆R...
Uniqueness and Stability Results for Caputo Fractional Volterra-Fredholm Integro-Differential Equations
(Сибирский федеральный университет. Siberian Federal University, 2021-04)
. Mathematics & Physics 2021, 14(3), 313–325
DOI: 10.17516/1997-1397-2021-14-3-313-325
УДК 517.9
Uniqueness and Stability Results for Caputo Fractional
Volterra-Fredholm Integro-Differential Equations
Ahmed A.Hamoud∗
Department of Mathematics
Taiz University...
) = x0. ∗drahmedselwi985@hotmail.com https://orcid.org/0000-0002-8877-7337 c⃝ Siberian Federal University. All rights reserved – 313 – Ahmed A.Hamoud Uniqueness and Stability Results for Caputo Fractional Volterra-Fredholm . . . Lauran (2011) [19...
) = x0. ∗drahmedselwi985@hotmail.com https://orcid.org/0000-0002-8877-7337 c⃝ Siberian Federal University. All rights reserved – 313 – Ahmed A.Hamoud Uniqueness and Stability Results for Caputo Fractional Volterra-Fredholm . . . Lauran (2011) [19...
A Class of Quintic Kolmogorov Systems with Explicit Non-algebraic Limit Cycle
(Сибирский федеральный университет. Siberian Federal University, 2019-06)
Federal University. Mathematics & Physics 2019, 12(3), 285–297
УДК 517.9
A Class of Quintic Kolmogorov Systems with Explicit
Non-algebraic Limit Cycle
Ahmed Bendjeddou
Department of Mathematics, Faculty of sciences
University of setif 1, 19000
Algeria...
on an open set Ω of R2 if there exists a non constant continuously differentiable function H : Ω 7−→ R called a first integral of this system on Ω which �med_grazem@univ-boumerdes.dz c⃝ Siberian Federal University. All rights reserved – 285 – Ahmed Bendjeddou...
on an open set Ω of R2 if there exists a non constant continuously differentiable function H : Ω 7−→ R called a first integral of this system on Ω which �med_grazem@univ-boumerdes.dz c⃝ Siberian Federal University. All rights reserved – 285 – Ahmed Bendjeddou...
Анализ потокораспределения и устойчивости для электрической системы с электростанцией с комбинированным циклом в Южном Ираке с использованием ETAP
(Сибирский федеральный университет. Siberian Federal University, 2021-02)
. Engineering & Technologies 2021 14(1): 5-16
~ ~ ~
DOI: 10.17516/1999-494X-0285
УДК 621.311
Load Flow and Transient Stability Analyses
for an Integrated Solar Combined Cycle Station
in Iraqi Southern by Using ETAP
Ahmed Z. Abass*, Dmitry A. Pavlyuchenko...
наблюдается улучшение характеристики напряжения, уменьшение потерь и улучшение коэффициента мощности. Список литературы / References [1] Ahmed Z. Abass, D.A Pavlyuchenko,» The exploitation of western and southern deserts in Iraq for the production of solar...
наблюдается улучшение характеристики напряжения, уменьшение потерь и улучшение коэффициента мощности. Список литературы / References [1] Ahmed Z. Abass, D.A Pavlyuchenko,» The exploitation of western and southern deserts in Iraq for the production of solar...
Theoretical Analysis for a System of Nonlinear ϕ-Hilfer Fractional Volterra-Fredholm Integro-differential Equations
(Сибирский федеральный университет. Siberian Federal University, 2023-04)
. Mathematics & Physics 2023, 16(2), 216–229
EDN: HILTMN
УДК 517.9
Theoretical Analysis for a System of Nonlinear ϕ-Hilfer
Fractional Volterra-Fredholm Integro-differential Equations
Ahmed A. Hamoud∗
Nedal M. Mohammed†
Department of Mathematics & Computer...
function ϱ with respect to the function ϕ on [n, m] are defined by ∫ x 1 Inς;ϕ ϱ(x) = ϕ′ (η)(ϕ(x) − ϕ(η))ς−1 ϱ(η)dη + Γ(ς) n and ς;ϕ Im − ϱ(x) = 1 Γ(ς) ∫ m ϕ′ (η)(ϕ(η) − ϕ(x))ς−1 ϱ(t)dη x respectively. – 217 – �Ahmed A. Hamoud . . . Theoretical...
function ϱ with respect to the function ϕ on [n, m] are defined by ∫ x 1 Inς;ϕ ϱ(x) = ϕ′ (η)(ϕ(x) − ϕ(η))ς−1 ϱ(η)dη + Γ(ς) n and ς;ϕ Im − ϱ(x) = 1 Γ(ς) ∫ m ϕ′ (η)(ϕ(η) − ϕ(x))ς−1 ϱ(t)dη x respectively. – 217 – �Ahmed A. Hamoud . . . Theoretical...
Limit Cycles for a Class of Polynomial Differential Systems Via Averaging Theory
(Сибирский федеральный университет. Siberian Federal University, 2019-04)
P �( =
(
l∑
i5(
bir
i+2� cnsi+) � sim2� � +
n∑
i5(
air
i+2�+) cnsi+) � sim2�+) � +
+
m∑
i5(
xir
i+2�+) cnsi � sim2�+2 � +
k∑
i5(
yir
i+2� cnsi � sim2�+) �
)
P
– 147 –
Ahmed Bendjeddou, Aziza Berbache, Abdelkrim Kina Limit Cycles for a Class of Polynomial...
odd Bir i+2� ∫ 2� ( Bi+)P2� (�( y� + m∑ i5( i even Cir i+2�+) ∫ 2� ( BiP2�+2 (�( y� = = [ l−12 ]∑ i5( B2i+)V2i+2P2i (1.( r 2i+2�+) + [m2 ]∑ i5( C2iV2iP2i+2 (1.( r 2i+2�+) = = r2�+)P) ( r2 ) O – 150 – Ahmed Bendjeddou, Aziza Berbache, Abdelkrim Kina...
odd Bir i+2� ∫ 2� ( Bi+)P2� (�( y� + m∑ i5( i even Cir i+2�+) ∫ 2� ( BiP2�+2 (�( y� = = [ l−12 ]∑ i5( B2i+)V2i+2P2i (1.( r 2i+2�+) + [m2 ]∑ i5( C2iV2iP2i+2 (1.( r 2i+2�+) = = r2�+)P) ( r2 ) O – 150 – Ahmed Bendjeddou, Aziza Berbache, Abdelkrim Kina...