Results 1 to 10 of about 15 (15)

Shehu Integral Transform and Hyers-Ulam Stability of nth order Linear Differential Equations

Scientific African, 2022
In this paper, we establish the Shehu transform expression for homogeneous and non-homogeneous linear differential equations. With the help of this new integral transform, we solve higher order linear differential equations in the Shehu sense.
Vediyappan Govindan, Samad Noeiaghdam, Unai Fernandez-Gamiz, Sagar Ningonda Sankeshwari, R. Arulprakasam, Bing Zhao Li   +5 more
doaj   +1 more source

Extensions of Gronwall-Bellman type integral inequalities with two independent variables

Open Mathematics, 2022
In this paper, we establish several kinds of integral inequalities in two independent variables, which improve well-known versions of Gronwall-Bellman inequalities and extend them to fractional integral form.
Xie Yihuai, Li Yueyang, Liu Zhenhai
doaj   +1 more source

Criteria of Existence for a q Fractional p-Laplacian Boundary Value Problem

Frontiers in Applied Mathematics and Statistics, 2020
This paper is devoted to establishing some criteria for the existence of non-trivial solutions for a class of fractional q-difference equations involving the p-Laplace operator, which is nowadays known as Lyapunov's inequality. The method employed for it
Lakhdar Ragoub, Fairouz Tchier, Ferdous Tawfiq   +2 more
doaj   +1 more source

Perturbation of the one-dimensional time-independent Schrödinger equation with a rectangular potential barrier

Open Mathematics, 2020
In Applied Mathematics Letters 74 (2017), 147–153, the Hyers-Ulam stability of the one-dimensional time-independent Schrödinger equation was investigated when the relevant system has a potential well of finite depth. As a continuous work,
Jung Soon-Mo, Choi Ginkyu
doaj   +1 more source

Nonlinear elastic beam problems with the parameter near resonance

Open Mathematics, 2018
In this paper, we consider the nonlinear fourth order boundary value problem of the ...
Xu Man, Ma Ruyun
doaj   +1 more source

Properties on a subclass of univalent functions defined by using a multiplier transformation and Ruscheweyh derivative

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
In this paper we have introduced and studied the subclass ℛ𝒥 (d, α, β) of univalent functions defined by the linear operator RIn,λ,lγf(z)$RI_{n,\lambda ,l}^\gamma f(z)$ defined by using the Ruscheweyh derivative Rnf(z) and multiplier transformation I (n,
Alb Lupaş Alina
doaj   +1 more source

Mittag-Leffler-Hyers-Ulam stability for a first- and second-order nonlinear differential equations using Fourier transform

Demonstratio Mathematica
In this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions.
Selvam Arunachalam, Sabarinathan Sriramulu, Selvan Arumugam Ponmana   +2 more
doaj   +1 more source

Existence and data dependence results for fractional differential equations involving atangana-baleanu derivative. [PDF]

Rend Circ Mat Palermo, 2022
Sutar ST, Kucche KD.
europepmc   +1 more source

MicroRNAs, long non-coding RNAs, and circular RNAs and gynecological cancers: focus on metastasis. [PDF]

Front Oncol, 2023
Rezaee A, Ahmadpour S, Jafari A, Aghili S, Zadeh SST, Rajabi A, Raisi A, Hamblin MR, Mahjoubin-Tehran M, Derakhshan M.   +9 more
europepmc   +1 more source

PD-L1 promotes tumor growth and progression by activating WIP and β-catenin signaling pathways and predicts poor prognosis in lung cancer. [PDF]

Cell Death Dis, 2020
Yu W, Hua Y, Qiu H, Hao J, Zou K, Li Z, Hu S, Guo P, Chen M, Sui S, Xiong Y, Li F, Lu J, Guo W, Luo G, Deng W.   +15 more
europepmc   +1 more source