Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Existence and Ulam Stability of Initial Value Problem for Impulsive Fractional q-Difference Equations
View through CrossRef
Abstract
This paper, we investigat the existence and uniqueness of solutions for a initial value problem for impulsive fractional q-difference equations involving the Caputo fractional q-difference derivative. The results are obtained using the Banach contraction principle and Krasnoselskii’s fixed point theorems. Also, we discuss the Ulam-Hyers and Ulam-Hyers-Rassias stabilities of its solutions. Finally, an example is given to illustrate the effectiveness of our results.
AMS (MOS) Subject Classifications : 26A33, 39A13, 47H10.
Title: Existence and Ulam Stability of Initial Value Problem for Impulsive Fractional q-Difference Equations
Description:
Abstract
This paper, we investigat the existence and uniqueness of solutions for a initial value problem for impulsive fractional q-difference equations involving the Caputo fractional q-difference derivative.
The results are obtained using the Banach contraction principle and Krasnoselskii’s fixed point theorems.
Also, we discuss the Ulam-Hyers and Ulam-Hyers-Rassias stabilities of its solutions.
Finally, an example is given to illustrate the effectiveness of our results.
AMS (MOS) Subject Classifications : 26A33, 39A13, 47H10.
Related Results
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Background: The dynamics of fractional oscillators are generally described by fractional differential equations, which include the fractional derivative of the Caputo or Riemann-Li...
Study of a nonlinear multi-terms boundary value problem of fractional pantograph differential equations
Study of a nonlinear multi-terms boundary value problem of fractional pantograph differential equations
AbstractIn this research work, a class of multi-term fractional pantograph differential equations (FODEs) subject to antiperiodic boundary conditions (APBCs) is considered. The ens...
Pengaruh Kontrol Diri terhadap Perilaku Impulsive Buying pada Mahasiswa Pengguna Media Sosial Tiktok di Bandung
Pengaruh Kontrol Diri terhadap Perilaku Impulsive Buying pada Mahasiswa Pengguna Media Sosial Tiktok di Bandung
Abstract. The rapid development of technology has greatly facilitated purchasing activities, including those conducted through social media. TikTok Shop, a new feature of the TikTo...
Pengaruh Hedonic Shopping Value dan Shopping Lifestyle terhadap Impulsive Buying pada Konsumen Shopee
Pengaruh Hedonic Shopping Value dan Shopping Lifestyle terhadap Impulsive Buying pada Konsumen Shopee
Abstract. The development of increasingly advanced information technology has made the internet not only a medium of communication, but also a shopping center for consumers online....
On α-Fractional Bregman Divergence to study α-Fractional Minty’s Lemma
On α-Fractional Bregman Divergence to study α-Fractional Minty’s Lemma
In this paper fractional variational inequality problems (FVIP) and dual fractional variational inequality problems (DFVIP), Fractional minimization problems are defined with the h...
Soham Transform in Fractional Differential Equations
Soham Transform in Fractional Differential Equations
Objectives: Soham transforms is one of the appropriate tools for solving fractional differential equations that are flexible enough to adapt to different purposes. Methods: Integra...
HUBUNGAN ANTARA PERILAKU IMPULSIVE BUYING DENGAN SUBJECTIVE WELL-BEING PADA DEWASA AWAL
HUBUNGAN ANTARA PERILAKU IMPULSIVE BUYING DENGAN SUBJECTIVE WELL-BEING PADA DEWASA AWAL
Berkembangnya dunia pemasaran membuat banyak Perusahaan yang melakukan pemasaran dengan ide-ide yang unik dan dapat menarik pelanggan untuk membeli barang produksinya. Hal ini juga...
Carotenoid composition in twenty ulam species as potential halal active
pharmaceutical ingredients
Carotenoid composition in twenty ulam species as potential halal active
pharmaceutical ingredients
Ulam is a traditional Southeast Asian vegetable that has been consumed and practised by
old folks for decades. Several studies have found that ulam has numerous benefits,
including...