A Langevin-Type q-Variant System of Nonlinear Fractional Integro-Difference Equations with Nonlocal Boundary Conditions

被引：8
作者：
Agarwal, Ravi P. [1 ]
Al-Hutami, Hana [2 ]
Ahmad, Bashir [2 ]
机构：
[1] Texas A& M Univ, Dept Math, Kingsville, TX 78363 USA
[2] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
来源：
FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 01期
关键词：
fractional q-difference equations; Riemann-Liouville integral; nonlocal boundary conditions; existence; fixed point; STRING VIBRATIONS; DISPLACEMENT; DERIVATIVES; FORMULATION; EXISTENCE; SCHEME; ORDERS;
D O I：
10.3390/fractalfract6010045
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a new class of boundary value problems consisting of a q-variant system of Langevin-type nonlinear coupled fractional integro-difference equations and nonlocal multipoint boundary conditions. We make use of standard fixed-point theorems to derive the existence and uniqueness results for the given problem. Illustrative examples for the obtained results are also presented.
引用
收藏
页数：27
相关论文
共 48 条
  • [1] Agarwal R. P., 2015, Dyn. Contin. Discret (I), V22, P1
  • [2] A formulation and numerical scheme for fractional optimal control problems
    Agrawal, Om P.
    [J]. JOURNAL OF VIBRATION AND CONTROL, 2008, 14 (9-10) : 1291 - 1299
  • [3] Formulation of Euler-Lagrange equations for fractional variational problems
    Agrawal, OP
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 272 (01) : 368 - 379
  • [4] Ahmad B., 2016, QUANTUM CALCULUS NEW
  • [5] Ahmad B, 2016, B MATH SOC SCI MATH, V59, P119
  • [6] Boundary Value Problems of Nonlinear Fractional q-Difference (Integral) Equations with Two Fractional Orders and Four-point Nonlocal Integral Boundary Conditions
    Ahmad, Bashir
    Nieto, Juan J.
    Alsaedi, Ahmed
    Al-Hutami, Hana
    [J]. FILOMAT, 2014, 28 (08) : 1719 - 1736
  • [7] Existence results for nonlocal boundary value problems of nonlinear fractional q-difference equations
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    Purnaras, Ioannis K.
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [8] A study of nonlinear Langevin equation involving two fractional orders in different intervals
    Ahmad, Bashir
    Nieto, Juan J.
    Alsaedi, Ahmed
    El-Shahed, Moustafa
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (02) : 599 - 606
  • [9] EXISTENCE RESULTS FOR A COUPLED SYSTEM OF NONLINEAR FRACTIONAL q-INTEGRO-DIFFERENCE EQUATIONS WITH q-INTEGRAL-COUPLED BOUNDARY CONDITIONS
    Alsaedi, Ahmed
    Al-Hutami, Hana
    Ahmad, Bashir
    Agarwal, Ravi P.
    [J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (01)
  • [10] q-Fractional Calculus and Equations Preface
    Ismail, Mourad
    [J]. Q-FRACTIONAL CALCULUS AND EQUATIONS, 2012, 2056 : IX - +
12345