EXISTENCE THEORY TO A CLASS OF FRACTIONAL ORDER HYBRID DIFFERENTIAL EQUATIONS

被引：7

作者：

Jan, Muhammad Naeem ^{[1
]}

Zaman, Gul ^{[1
]}

Ahmad, Imtiaz ^{[1
]}

Ali, Nigar ^{[1
]}

Nisar, Kottakkaran Sooppy ^{[2
]}

Abdel-Aty, Abdel-Haleem ^{[3
,4
]}

Zakarya, M. ^{[5
,6
]}

机构：

[1] Univ Malakand, Dept Math, Khyber Pakhtunkhwa, Pakistan

[2] Prince Sattam bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia

[3] Univ Bisha, Coll Sci, Dept Phys, POB 344, Bisha 61922, Saudi Arabia

[4] Al Azhar Univ, Fac Sci, Phys Dept, Assiut 71524, Egypt

[5] King Khalid Univ, Coll Sci, Dept Math, POB 9004, Abha 61413, Saudi Arabia

[6] Al Azhar Univ, Fac Sci, Dept Math, Assiut 71524, Egypt

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2022年 / 30卷 / 01期

关键词：

Boundary Value Problems; Lipchitz Condition; Lebesgue Dominated Convergence Theorem; Completely Continuous Operator; Fractional Differential Equations; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTION; STABILITY; COVID-19; MODEL;

D O I：

10.1142/S0218348X22400229

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we develop the theory of fractional order hybrid differential equations involving Riemann-Liouville differential operators of order l is an element of (0, 1). We study the existence theory to a class of boundary value problems for fractional order hybrid differential equations. The sum of three operators is used to prove the key results for a couple of hybrid fixed point theorems. We obtain sufficient conditions for the existence and uniqueness of positive solutions. Moreover, examples are also presented to show the significance of the results.

引用

页数：9

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