2019
DOI: 10.31197/atnaa.579701
|View full text |Cite
|
Sign up to set email alerts
|

Existence of Solutions for Nonlocal Boundary Value Problem of Hadamard Fractional Differential Equations

Abstract: We investigate the existence and uniqueness of solutions for Hadamard fractional differential equations with nonlocal integral boundary conditions, by using the Leray-Schauder nonlinear alternative, Leray Schauder degree theorem, Krasnoselskiis fixed point theorem, Schaefers fixed point theorem, Banach fixed point theorem, Nonlinear Contractions. Two examples are also presented to illustrate our results.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
5

Citation Types

0
18
0

Year Published

2020
2020
2022
2022

Publication Types

Select...
9
1

Relationship

0
10

Authors

Journals

citations
Cited by 34 publications
(18 citation statements)
references
References 27 publications
0
18
0
Order By: Relevance
“…It is well known that fractional order dierential equations provide an excellent setting for capturing, in a model framework, real-world problems in many disciplines, such as chemistry, physics, engineering, biology and ecology [29,41,35,50,30,24,27,25] . In recent years, there has been a signicant development in ordinary and partial dierential equations involving fractional derivatives, see the monographs of Podlubny [41], Kilbas et al [29], Zhou et al [50], and the recent papers [49,30,4,27,28,23,26,8,21,38] and the references therein.…”
Section: Introductionmentioning
confidence: 99%
“…It is well known that fractional order dierential equations provide an excellent setting for capturing, in a model framework, real-world problems in many disciplines, such as chemistry, physics, engineering, biology and ecology [29,41,35,50,30,24,27,25] . In recent years, there has been a signicant development in ordinary and partial dierential equations involving fractional derivatives, see the monographs of Podlubny [41], Kilbas et al [29], Zhou et al [50], and the recent papers [49,30,4,27,28,23,26,8,21,38] and the references therein.…”
Section: Introductionmentioning
confidence: 99%
“…[16,30], to see interesting results in the theory of fractional calculus and fractional differential equations, the reader may consult the monographs by; Abbas et al [8,9], Kilbas et al [22], Oldham et al [26], Podlubny [27], Samko et al [28], Zhou et al [33], and the papers by Abbas et al [3,5], Benchohra et al [12], Lakshmikantham et al [23,24,25]. Other recent results are provided in [11,13,17,18,19,20,21,29,31,32]. Attractivity results for various classes of fractional differential equations are considered in [1,2,4,6,10].…”
Section: Introductionmentioning
confidence: 99%
“…In recent years, there has been a growing interest in the linear and nonlinear integro-dierential equations which are a combination of dierential and integral equations [4,6,7,18,20,25]. The nonlinear integrodierential equations play an important role in many branches of nonlinear functional analysis and their applications in the theory of engineering, mechanics, physics, electrostatics, biology, chemistry and economics [15] and signal processing [27].…”
Section: Introductionmentioning
confidence: 99%