Theory of fractional hybrid differential equations

Zhao, Yige; Sun, Shurong; Han, Zhenlai; Li, Qiuping

doi:10.1016/j.camwa.2011.03.041

Cited by 188 publications

(123 citation statements)

References 18 publications

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“…Furthermore, a group researchers, extend the above result of hybrid differential equations to fractional order differential equation involving Riemann-Liouville differential operators [41].…”

Section: Introductionmentioning

confidence: 92%

Existence Results to a Class of Hybrid Fractional Differential Equations

Ullah¹,

Ali²,

Khan³

et al. 2018

Matrix sci. math.

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This article is devoted to the study of existence results to a class of boundary value problems for hybrid fractional differential equations. A couple of hybrid fixed point theorems for the sum of three operators are used for proving the main results. Examples illustrating the results are also presented. KEYWORDSHybrid fractional differential equations, Boundary value problems, Lebesgue dominated convergence theorem, Fixed point theorem.

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Section: Introductionmentioning

confidence: 92%

Existence Results to a Class of Hybrid Fractional Differential Equations

Ullah¹,

Ali²,

Khan³

et al. 2018

Matrix sci. math.

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“…; see [1,2]. Many interesting results of the existence of solutions of various classes of fractional differential equations have been obtained; see [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

“…The importance of the investigations of perturbation differential equation lies in the fact that they include several dynamic systems as special cases. There have been many works on the theory of perturbation differential equations, and we refer readers to the articles [13,[17][18][19][20][21][22][23][24][25][26] Zhao et al [13] studied fractional differential equations involving RiemannLiouville differential operators…”

Section: Introductionmentioning

confidence: 99%

The existence of solutions for boundary value problems of two types fractional perturbation differential equations

Yan

Sun

Yang

2014

J. Appl. Math. Comput.

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“…For some recent developments on the topic, see [52][53][54][55][56][57]. Recently, there are several research works related to boundary value problems for hybrid differential equations (see [58][59][60][61][62][63][64][65]). For example, Sun et al [60] studied the existence of solutions for the boundary value problem of fractional hybrid differential equations…”

Section: Introductionmentioning

confidence: 99%