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W-shape and abundant of other solitary wave solutions of the positive Gardner Kadomtsov–Petviashivilli dynamical model with applications
In this study, we explore the positive Gardner Kadomtsov–Petviashivilli (KP) equation using the Generalized Ricatti Equation Map** Method (GREMM). The KP equation describes the behavior of quasi-one dimensio...
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Computational determination of structural, electronic, magnetic and elastic properties of CsXB (X = Mg and Sr) do half-Heusler alloys as potential spintronic materials
Structural, electronic, magnetic and elastic characteristics of do half-Heusler alloys CsXB (X = Mg and Sr) are investigated by using First-principles study based on density functional theory. Full-potential line...
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A framework to connect IoT edge networks through 3D Massive MIMO
Three-Dimensional (3D) Massive multiple-input-multiple-output (MIMO) is a new and impressive concept. The beamforming in elevation and azimuth domains can reduce computational complexity as well as improve ban...
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Open AccessInequalities for fractional Riemann–Liouville integrals of certain class of convex functions
Fractional calculus operators play a very important role in generalizing concepts of calculus used in diverse fields of science. In this paper, we use Riemann–Liouville fractional integrals to establish genera...
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Article
Open AccessFractional versions of Minkowski-type integral inequalities via unified Mittag-Leffler function
We present unified versions of Minkowski-type fractional integral inequalities with the help of fractional integral operator based on a unified Mittag-Leffler function. These inequalities provide new as well a...
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Open AccessInequalities for generalized Riemann–Liouville fractional integrals of generalized strongly convex functions
Some new integral inequalities for strongly ( α , h ...
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Article
Open AccessRefinements of some fractional integral inequalities for refined \((\alpha ,h-m)\) -convex function
This article investigates new inequalities for generalized Riemann–Liouville fractional integrals via the refined ( ...
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Article
Open AccessRefinements of some integral inequalities for unified integral operators
In this paper we are presenting the refinements of integral inequalities established for convex functions. Consequently, we get refinements of several fractional integral inequalities for different kinds of fr...
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Article
Open AccessFurther generalizations of Hadamard and Fejér–Hadamard fractional inequalities and error estimates
The aim of this paper is to generalize the fractional Hadamard and Fejér–Hadamard inequalities. By using a generalized fractional integral operator containing extended Mittag-Leffler function via monotone func...
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Article
Open AccessStudy of fractional integral inequalities involving Mittag-Leffler functions via convexity
This paper studies fractional integral inequalities for fractional integral operators containing extended Mittag-Leffler (ML) functions. These inequalities provide upper bounds of left- and right-sided fractio...
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Article
Open AccessNew generalized fractional versions of Hadamard and Fejér inequalities for harmonically convex functions
The aim of this paper is to establish new generalized fractional versions of the Hadamard and the Fejér–Hadamard integral inequalities for harmonically convex functions. Fractional integral operators involving...
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Article
Open AccessOn a unified integral operator for φ-convex functions
Integral operators have a very vital role in diverse fields of science and engineering. In this paper, we use φ-convex functions for unified integral operators to obtain their upper bounds and upper and lower bou...
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Article
Open AccessEstimations of fractional integral operators for convex functions and related results
This research investigates the bounds of fractional integral operators containing an extended generalized Mittag-Leffler function as a kernel via several kinds of convexity. In particular, the established boun...
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Article
Open AccessGeneralized fractional integral inequalities for exponentially \((s,m)\)-convex functions
In this paper we have derived the fractional integral inequalities by defining exponentially (s,m)\((s,m)\)-convex functions. These inequalities provide upper bounds, boundedness, continuity, and Hadamard type ineq...
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Open AccessOn boundedness of unified integral operators for quasiconvex functions
This work deals with the bounds of a unified integral operator with which several fractional and conformable integral operators are directly associated. By using quasiconvex and monotone functions we establish...
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Article
Open AccessDerivation of bounds of several kinds of operators via \((s,m)\)-convexity
The objective of this paper is to derive the bounds of fractional and conformable integral operators for (s,m)\((s,m)\)-convex functions in a unified form. Further, the upper and lower bounds of these operators are...
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An Optimal Asset Allocation Strategy for Suppliers Paying Carbon Tax in the Competitive Electricity Market
The escalating energy demand across the globe has intensified the electricity production. Owing to the unavailability of the reliable techniques for electricity storage for a long duration, it is consumed imme...
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Some Riemann–Liouville fractional integral inequalities for convex functions
We are pleased to investigate some Riemann–Liouville fractional integral inequalities in a very simple and novel way. By using convexity of a function f and a simple inequality over the domain of f we establish s...
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Open AccessOn applications of Caputo k-fractional derivatives
This research explores Caputo k-fractional integral inequalities for functions whose nth order derivatives are absolutely continuous and possess Grüss type variable bounds. Using Chebyshev inequality (Waheed et a...
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Article
Open Access\((h-m)\) -convex functions and associated fractional Hadamard and Fejér–Hadamard inequalities via an extended generalized Mittag-Leffler function
The aim of this paper is to present the Hadamard and the Fejér–Hadamard integral inequalities for ...
