APPLYING QUANTUM CALCULUS FOR THE EXISTENCE OF SOLUTION OF q-INTEGRO-DIFFERENTIAL EQUATIONS WITH THREE CRITERIA

被引：21

作者：

Abdeljawad, Thabet ^{[1
,2
,3
]}

Samei, Mohammad Esmael ^{[4
]}

机构：

[1] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia

[2] China Med Univ, Dept Med Res, Taichung, Taiwan

[3] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan

[4] Bu Ali Sina Univ, Fac Basic Sci, Dept Math, Hamadan, Hamadan, Iran

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2021年 / 14卷 / 10期

关键词：

pointwise defined singular equation; three steps crisis phenomena; singularity; q-integro-differential; Caputo q-derivation; POSITIVE SOLUTIONS; GENERAL-THEORY;

D O I：

10.3934/dcdss.2020440

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Crisis intervention in natural disasters is significant to look at from many different slants. In the current study, we investigate the existence of solutions for q-integro-differential equation D-q(alpha) u(t) + w (t, u(t), u'(t), D-q(beta) u(t), integral(t)(0) f(r)u(r) dr, phi(u(t))) = 0, with three criteria and under some boundary conditions which therein we use the concept of Caputo fractional q-derivative and fractional Riemann-Liouville type q-integral. New existence results are obtained by applying alpha-admissible map. Lastly, we present two examples illustrating the primary effects.

引用

页码：3351 / 3386

页数：36

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