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Noureen Arshad,Khalid Mahmood Zia,Muhammad Tahir Hussain,Muhammad Mubeen Arshad,Mohammad Zuber 한국섬유공학회 2022 Fibers and polymers Vol.23 No.7
This research is aimed at synthesizing some novel bio-based ecofriendly finishes for textile applications. A seriesof curcumin based aqueous polyurethane (PU) dispersions (CUR-WDPU-IPDI) was prepared using polyethylene glycol(PEG), isophorone diisocyanate (IPDI) and dimethylolpropanoic acid (DMPA) via conventional pre-polymer process. Thedual functionality is incorporated by hindering the polyurethane pre-polymer with isocyanate (-NCO) groups and curcuminwas utilized to extend the polymeric chain to achieve the CUR-WDPU-IPDI dispersion. Structural characteristics of thesynthesized polymer were investigated by Fourier Transform Infrared (FT-IR) spectrophotometer. The performance of PUdispersions for increasing the color fastness properties (washing, rubbing and perspiration fastness) of plain weave fabrics(poly/cotton, dyed and printed) was studied. Furthermore, the mechanical strength (pilling, tearing and tensile strength) of thesaid fabric (dyed, printed and white) was also evaluated. Results clearly exhibited that the color fastness properties andmechanical strength of the dyed, printed and white fabrics were improved significantly after treating with the PU finishes. These synthesized curcumin-based water dispersible polyurethanes (CUR-WDPU-IPDI) finishing agents are greenerproducts which are particularly derivatized from bio-resources. Owing to their biocompatibility, copious availability, lessnoxious, greener methodology and ecofriendly nature, these can be utilized as attractive ecofriendly alternatives for textileapplications.
INEQUALITIES OF EXTENDED (p, q)-BETA AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
Mubeen, Shahid,Nisar, Kottakkaran Sooppy,Rahman, Gauhar,Arshad, Muhammad The Honam Mathematical Society 2019 호남수학학술지 Vol.41 No.4
In this paper, we establish the log convexity and Turán type inequalities of extended (p, q)-beta functions. Likewise, we present the log-convexity, the monotonicity and Turán type inequalities for extended (p, q)-confluent hypergeometric function by utilizing the inequalities of extended (p, q)-beta functions.
EXTENDED WRIGHT-BESSEL FUNCTION AND ITS PROPERTIES
Arshad, Muhammad,Mubeen, Shahid,Nisar, Kottakkaran Sooppy,Rahman, Gauhar Korean Mathematical Society 2018 대한수학회논문집 Vol.33 No.1
In this present paper, our aim is to introduce an extended Wright-Bessel function $J^{{\lambda},{\gamma},c}_{{\alpha},q}(z)$ which is established with the help of the extended beta function. Also, we investigate certain integral transforms and generalized integration formulas for the newly defined extended Wright-Bessel function $J^{{\lambda},{\gamma},c}_{{\alpha},q}(z)$ and the obtained results are expressed in terms of Fox-Wright function. Some interesting special cases involving an extended Mittag-Leffler functions are deduced.
A NEW EXTENSION OF THE MITTAG-LEFFLER FUNCTION
Arshad, Muhammad,Choi, Junesang,Mubeen, Shahid,Nisar, Kottakkaran Sooppy,Rahman, Gauhar Korean Mathematical Society 2018 대한수학회논문집 Vol.33 No.2
Since Mittag-Leffler introduced the so-called Mittag-Leffler function in 1903, due to its usefulness and diverse applications, a variety and large number of its extensions (and generalizations) and variants have been presented and investigated. In this sequel, we aim to introduce a new extension of the Mittag-Leffler function by using a known extended beta function. Then we investigate ceratin useful properties and formulas associated with the extended Mittag-Leffler function such as integral representation, Mellin transform, recurrence relation, and derivative formulas. We also introduce an extended Riemann-Liouville fractional derivative to present a fractional derivative formula for a known extended Mittag-Leffler function, the result of which is expressed in terms of the new extended Mittag-Leffler functions.
Inequalities of extended $(p,q)$-beta and confluent hypergeometric functions
Shahid Mubeen,Kottakkaran Sooppy Nisar,Gauhar Rahman,Muhammad Arshad 호남수학회 2019 호남수학학술지 Vol.41 No.4
In this paper, we establish the log convexity and Tur\'{a}n type inequalities of extended $(p,q)$-beta functions. Likewise, we present the log-convexity, the monotonicity and Tur\'{a}n type inequalities for extended $(p,q)$-confluent hypergeometric function by utilizing the inequalities of extended $(p,q)$-beta functions.
Pathway Fractional Integral Formulas Involving Extended Mittag-Leffler Functions in the Kernel
Rahman, Gauhar,Nisar, Kottakkaran Sooppy,Choi, Junesang,Mubeen, Shahid,Arshad, Muhammad Department of Mathematics 2019 Kyungpook mathematical journal Vol.59 No.1
Since the Mittag-Leffler function was introduced in 1903, a variety of extensions and generalizations with diverse applications have been presented and investigated. In this paper, we aim to introduce some presumably new and remarkably different extensions of the Mittag-Leffler function, and use these to present the pathway fractional integral formulas. We point out relevant connections of some particular cases of our main results with known results.
Nisar, Kottakkaran Sooppy,Rahman, Gauhar,Choi, Junesang,Mubeen, Shahid,Arshad, Muhammad The Youngnam Mathematical Society 2018 East Asian mathematical journal Vol.34 No.3
We aim to establish certain Gronwall type inequalities associated with Riemann-Liouville k- and Hadamard k-fractional derivatives. The results presented here are sure to be new and potentially useful, in particular, in analyzing dependence solutions of certain k-fractional differential equations of arbitrary real order with initial conditions. Some interesting special cases of our main results are also considered.