Fractional Kinetic Equations Associated with Incomplete I-Functions

Bansal, Manish Kumar; Kumar, Devendra; Harjule, Priyanka; Singh, Jagdev

doi:10.3390/fractalfract4020019

Cited by 12 publications

(4 citation statements)

References 25 publications

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“…To investigate the RY186 dye degradation kinetics, experimental datas were analyzed. The data were found to be accommodated by the pseudo‐first‐order model 27–30 . The kinetics was studied to find the reaction rate constant K 1 for 0.0227 g/l/min for decolorization processes and its efficiency in the PEF process.…”

Section: Resultsmentioning

confidence: 99%

“…The data were found to be accommodated by the pseudo-first-order model. [27][28][29][30] The kinetics was studied to find the reaction rate constant K 1 for 0.0227 g/l/min for decolorization processes and its efficiency in the PEF process. The experimental study was carried out at optimized conditions of a dye concentration, pH, Fe 2+ , H 2 O 2 , and current density constant at 0.15 g/l 3.0, 0.015 g/ l, 0.2 g/l, and 0.1 mA/cm 2 were plotted, and it was found that the process obeys pseudo-first-order kinetic and the studies found to fit the data well (R 2 = 0.9824) shown in Figure 8.…”

Section: Kinetic Studiesmentioning

confidence: 99%

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Experimental study of photo electro‐Fenton method for the removal of Reactive Yellow 186: Influence of operational parameters

Elumalai

Sowmya

Shanmugam

2022

Env Prog and Sustain Energy

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Water contamination is a global issue which must be addressed and examined in all water resource policies. In recent decades, Pollution from azo dyes has become a significant cause of concern in the environment. Oxidation procedures are preferred to break down organic molecules found in wastewater. Electrochemical advanced oxidation processes are among the most successful methodologies for pollutant degradation and inspired by the efficiency of the photo electro‐Fenton (PEF). It has been conducted for removals of organic pollutants using anode (Ti), Stainless Steel cathode. Reactive Yellow 186 (RY 186) azo dye in sulphate medium was subjected to this study pH (2–9), dye concentration (0.05–0.25 g/l), Iron dosage (0.01–0.03 g/l), H2O2 (0.1–0.5 g/l) dosage, and current density (0.1–0.5 mA/cm2) of PEF were evaluated. The optimum pH, RY 186 concentration, Iron dosage, H2O2 dosage, and current density were found to be approximately 3, 0.15 g/l, 0.015 g/l, 0.2 g/l, and 0.1 mA/cm2, respectively. It was concluded that acidic pH was required to increase the degradation efficiency of the PEF at optimum conditions and a reaction time of 15 min. The PEF approach was the most effective method for the reasons, hydroxyl radical oxidation and UVA radiation, degradation of up to 99%, and COD removal was 94.82% with optimized parameters. Degradation and COD analysis tracked with high‐performance liquid chromatography and infrared spectroscopy analysis. The results were compared with theoretical zero, first and second‐order models. it was found that the process obeys pseudo‐first‐order kinetic and the studies found to fit the data well (R2 = 0.9824). The cyclic voltammetry technique was employed to investigate the PEF process.

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Section: Resultsmentioning

confidence: 99%

Section: Kinetic Studiesmentioning

confidence: 99%

Experimental study of photo electro‐Fenton method for the removal of Reactive Yellow 186: Influence of operational parameters

Elumalai

Sowmya

Shanmugam

2022

Env Prog and Sustain Energy

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“…Manzoor et al [2] developed a Beta operator in terms that was based on the extended Mittag-Leffler function with Caputo fractional differentiation. Bansal et al [3] used the well-known integral transform to solve the fractional kinetic equation (FKE) associated with the incomplete I-function (IIF) (Laplace transform). The dualities between the Laplace-Carson transform and other useful integral transforms have been described by Chauhan et al [4].…”

Section: Introductionmentioning

confidence: 99%

Two Dimensional Laplace Transform Coupled with the Marichev-Saigo-Maeda Integral Operator and the Generalized Incomplete Hypergeometric Function

Khan

Shaeel

et al. 2021

Symmetry

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This paper represents the processing of the two-dimensional Laplace transform with the two-dimensional Marichev–Saigo–Maeda integral operators and two-dimensional incomplete hypergeometric function. This article provides an entirely new perspective on the Marichev–Saigo–Maeda operators and incomplete functions. In addition, we have included some interesting results, such as left-sided Saigo–Maeda operators and right-sided Saigo–Maeda operators, making this a good direction for symmetry analysis.

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“…In [1], the solution of a fractional kinetic equation (FKE), associated with the incomplete I-function (IIF) by using the well-known integral transform (Laplace transform), was investigated. The FKE plays an important role in solving astrophysical problems.…”

mentioning

confidence: 99%

New Challenges Arising in Engineering Problems with Fractional and Integer Order

2021

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Fractional Kinetic Equations Associated with Incomplete I-Functions

Cited by 12 publications

References 25 publications

Experimental study of photo electro‐Fenton method for the removal of Reactive Yellow 186: Influence of operational parameters

Experimental study of photo electro‐Fenton method for the removal of Reactive Yellow 186: Influence of operational parameters

Two Dimensional Laplace Transform Coupled with the Marichev-Saigo-Maeda Integral Operator and the Generalized Incomplete Hypergeometric Function

New Challenges Arising in Engineering Problems with Fractional and Integer Order

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