Sunil Joshi

ORCID: 0000-0001-9919-4017
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Research Areas
  • Fractional Differential Equations Solutions
  • Mathematical functions and polynomials
  • Analytic and geometric function theory
  • Mathematical Inequalities and Applications
  • Iterative Methods for Nonlinear Equations
  • Differential Equations and Boundary Problems
  • Holomorphic and Operator Theory
  • Nonlinear Differential Equations Analysis
  • Advanced Mathematical Identities
  • Polymer Synthesis and Characterization
  • advanced mathematical theories
  • Pharmacological Effects of Medicinal Plants
  • Approximation Theory and Sequence Spaces
  • Advanced Mathematical Theories
  • Mathematical and Theoretical Analysis
  • Firm Innovation and Growth
  • Functional Equations Stability Results
  • Geodetic Measurements and Engineering Structures
  • Numerical methods for differential equations
  • Algebraic and Geometric Analysis
  • Mathematical Approximation and Integration
  • Ethics in medical practice
  • Chaos control and synchronization
  • Mathematical Analysis and Transform Methods
  • Religion and Sociopolitical Dynamics in Nigeria

Manipal University Jaipur
2013-2024

Pramukhswami Medical College
2024

Bhaikaka University
2024

Physiotherapy New Zealand
2024

Kasturba Medical College, Manipal
2024

Manipal Academy of Higher Education
2020-2021

In this paper, a modified method is used to approximate the solution time-fractional n-dimensional Navier–Stokes equation. The Variational Iteration Transform Method, which implemented in equation whose fractional order derivative described Caputo sense. proposed method's findings are presented and examined using figures. It demonstrated that efficient, dependable, simple apply various science engineering applications.

10.1080/27690911.2024.2334387 article EN cc-by Applied Mathematics in Science and Engineering 2024-03-27

In this paper, we introduce the $ k $-generalised fractional derivatives with three parameters which reduced to $-fractional Hilfer and $-Riemann-Liouville derivative as an interesting special cases. Further, have also introduced some presumably new fascinating results include image power function, Laplace transform composition of integral generalized composite derivative. The technique developed in paper can be used other situation well.

10.3934/dcdss.2020045 article EN Discrete and Continuous Dynamical Systems - S 2019-03-21

Through applying the Kober fractional <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi>q</mi> </math> -calculus apprehension, we preliminary implant and introduce new types of univalent analytical functions with a id="M3"> -differintegral operator in open disk id="M4"> <mi mathvariant="double-struck">U</mi> <mo>=</mo> <mfenced open="{" close="}" separators="|"> <mrow> <mi>ξ</mi> <mo>∈</mo> <mi>ℂ</mi> <mo>:</mo> <mo>∣</mo> </mrow> <mi>|</mi> <mo>&lt;</mo> <mn>1</mn> </mfenced> ....

10.1155/2021/3161275 article EN cc-by Journal of Mathematics 2021-06-21

The Object of the present paper is to establish some interested theorems on Euler type integral involving extended Mittag-Leffler function. Further, we reduce special cases various known functions like Wiman function, Prabhakar exponential and Binomial functions.

10.5269/bspm.v38i2.34829 article EN cc-by Boletim da Sociedade Paranaense de Matemática 2018-02-19

AbstractAbstractThis paper tends to investigate a few new subclasses of bi-univalent functions H(v, λ, n) as well G(v, ξ, in an open disc U unit length. We also appraises the coefficients |b2| & |b3| Taylor-Maclaurin’s series.Subject Classification: (2010) 30C4530C50Keywords: Bi-univalentUnivalentStarlikeConvex and Generalized Bessel

10.1080/09720502.2020.1731978 article EN Journal of Interdisciplinary Mathematics 2020-02-17

10.31926/but.mif.2019.12.61.1.4 article EN Bulletin of the Transilvania University of Brasov Series III Mathematics and Computer Science 2019-07-20

10.1007/s40819-020-00902-6 article EN International Journal of Applied and Computational Mathematics 2020-09-26

This study presents a new multivariable fourth class of Horn function. Additionally, for the extended fourth-type function, we create bilateral generating functions and particular this Numerous multilinear multilateral are also generated these

10.1142/s2661335224500114 article EN cc-by International Journal of Mathematics for Industry 2024-04-19

<title>Abstract</title> Background According to the WHO, Patient Safety (PS) is a global health priority and fundamental component for Universal Health Coverage. The Global Collaborative (2018) has emphasised building competent, skilled, compassionate workforce through interprofessional (IP) education training in PS. curriculum of Professions Education (HPE) most disciplines, India, does not include structured on International Goals (IPSG) were developed 2006 by Joint Commission (JCI). IPSG...

10.21203/rs.3.rs-4366746/v1 preprint EN cc-by Research Square (Research Square) 2024-05-31

The focus of this research is to use a new extended beta function and develop the extensions Gauss hypergeometric functions confluent formulas that are presumed be new. Four theorems have also been defined under generalized fractional integral operators provide an image formula for extension functions. Moreover, discussed analogous statements in terms Weyl, Riemann–Liouville, Erdélyi–Kober, Saigo derivative operator types. Here, we able generate more by keeping some transforms on obtained formulas.

10.1155/2022/5343801 article EN cc-by Journal of Mathematics 2022-01-01

The purpose of this research is to provide a systematic review new type extended beta function and hypergeometric using confluent function, as well examine various belongings formulas the such integral representations, derivative formulas, transformation summation formulas. In addition, we also investigate Riemann–Liouville (R-L) fractional operator with associated properties. Furthermore, develop distribution present graphically relation between moment generating <math...

10.1155/2021/8353719 article EN cc-by arXiv (Cornell University) 2021-12-16

The main object of this paper is to investigate and determine a sufficient condition for q-starlikeness q-convexity functions which are associated with normalized Gauss hypergeometric function.

10.2298/fil2212009g article EN Filomat 2022-01-01

In this paper, we investigate the fractional derivatives and expansion formulae of incomplete $H$ $\overline{H}$-functions for one variable. Further, also obtain results repeated order some special cases are discussed. Various other analogues established. The obtained here very much helpful further research useful in study applied problems sciences, engineering technology.

10.31197/atnaa.755309 article EN Advances in the Theory of Nonlinear Analysis and its Application 2021-02-24

10.1063/5.0139342 article EN AIP conference proceedings 2023-01-01

Abstract In 2015, Abdeljawad defined the conformable fractional derivative (Grunwald–Letnikov technique) to iterate integral of order <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mn>0</m:mn> <m:mo>&lt;</m:mo> <m:mi>α</m:mi> <m:mo>≤</m:mo> <m:mn>1</m:mn> </m:mrow> </m:math> {0&lt;\alpha\leq{1}} (Riemann approach), yielding Hadamard integrals when <m:mo>=</m:mo> {\alpha=0} . The Gronwall type inequality for generalized operators unifying Riemann–Liouville and is obtained...

10.1515/anly-2022-1105 article EN Analysis 2023-11-29

The effectiveness of the local fractional reduced differential transformation method (LFRDTM) for approximation solution related to extended n-term Klein-Gordon equation is main aim this paper in which complex transform and derivative have been employed analyze equations, Cantor sets. proposed method, along with existence solutions demonstrated through some examples, provides a powerful mathematical means solving linear equations. Considering these points, also an accurate effective solve...

10.51537/chaos.1286294 article EN cc-by-nc Chaos Theory and Applications 2023-12-10

Thecurrent studyaims to describe the generalized Bessel function’s pathway fractional integral operator. The following noteworthy special cases have been brought forward for consideration. transform of function has also developed.

10.56827/seajmms.2023.1902.12 article EN South East Asian J of Mathematics and Mathematical Sciences 2023-08-30

The main objective of this paper is to introduce and investigate various properties characteristics a unified class analytic functions with negative coefficient in the unit disc. results presented here involve distortion inequalities growth theorem involving fractional integrals derivatives. Keywords: Analytic functions; Univalent Riemann - Liouville operators ; Growth theorem; Fractional derivatives.

10.11113/matematika.v23.n.385 article EN 2007-06-01
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