A study of boundary value problem for generalized fractional differential inclusion via endpoint theory for weak contractions

Belmor, Samiha; Jarad, Fahd; Abdeljawad, Thabet; Kılınç, Gülsen

doi:10.1186/s13662-020-02811-w

Cited by 7 publications

(2 citation statements)

References 30 publications

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“…It can be easily seen that lim inf ς →∞ (ςψ(ς)) > 0 and ψ(ς) < ς for all ς > 0. In the light of preceding data, (14) q (2.8 + 0.9) ς 0 (ςqz) (2.8+0.9-1) φ(z) d q z ς 0.9+1 q (0.9 + 2) q (2.8 -1) 1 0…”

Section: An Examplementioning

confidence: 82%

On a fractional cantilever beam model in the q-difference inclusion settings via special multi-valued operators

et al. 2021

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The fundamental goal of the study under consideration is to establish some of the existence criteria needed for a particular fractional inclusion model of cantilever beam in the setting of quantum calculus using new arguments of existence theory. In this way, we investigate a fractional integral equation that corresponds to the aforementioned boundary value problem. In a more concrete sense, we design new multi-valued operators based on this integral equation, which belong to the certain subclasses of functions, called α-admissible and α-ψ-contractive multi-functions, in combination with the AEP-property. Also, we use some inequalities such as Ω-inequality and set-valued version inequalities. Moreover, we add a simulative example for a numerical analysis of our results obtained in this study.

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Section: An Examplementioning

confidence: 82%

On a fractional cantilever beam model in the q-difference inclusion settings via special multi-valued operators

et al. 2021

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“…Such results can be obtained by applying the fixed-point theorems. It is evident that the fixed-point method is the most powerful method in proving existence theorems (see [1,2,6,7,20,27,33]). Measure of non-compactness(MNC) also plays very important role in nonlinear analysis and fixed point theory.…”

Section: Introductionmentioning

confidence: 99%

Solvability for two dimensional functional integral equations via Petryshyn’s fixed point theorem

Deep

Dhiman

Hazarika

et al. 2021

Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat.

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This paper aims to use the Petryshyn's fixed point theorem associated with the measure of non-compactness to prove the existence of solutions of two-dimensional functional integral equations in the Banach algebra of continuous functions on the interval C([0, a] × [0, â], R), a, â > 0. Our existence results contains many functional integral equations as special case that arise in nonlinear analysis. Finally, we present some examples which show that our result is useful for various class of equations.

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Generalized Fractional Differential Systems with Stieltjes Boundary Conditions

Nyamoradi

Ahmad

2022

Qual. Theory Dyn. Syst.

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A study of boundary value problem for generalized fractional differential inclusion via endpoint theory for weak contractions

Cited by 7 publications

References 30 publications

On a fractional cantilever beam model in the q-difference inclusion settings via special multi-valued operators

On a fractional cantilever beam model in the q-difference inclusion settings via special multi-valued operators

Solvability for two dimensional functional integral equations via Petryshyn’s fixed point theorem

Generalized Fractional Differential Systems with Stieltjes Boundary Conditions

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