Journal of Interdisciplinary Mathematics

The main objective of the paper is to present the concept of fractional calculus on the extended k-generalized ML function Eτ,ς,ξ ρ,σ,c (x; p). Furthermore, the fractional integral and differential operators of this function are investigated. This paper also deals with the different properties of these integral operators and functions.

Liya D’Costa

Naresh Menaria

Fractional calculus of extended k-generalized Mittag-Leffler function and its properties

扩展k-广义Mittag-Leffler函数的分数阶微积分及其性质

In this paper, we examine the geometry of screen generic lightlike submanifolds of a semi-Riemannian product manifold. Here we find a characterization theorem for the induced connection on a screen generic lightlike submanifold to be a metric connection. We investigate the integrability of various distributions associated with screen generic lightlike submanifolds. Then we obtain necessary and sufficient conditions for a screen generic lightlike submanifold to be a screen generic lightlike product manifold.

Nand Kishor Jha

Sangeet Kumar

Jatinder Kaur

Some characterizations on screen generic lightlike submanifolds

关于屏幕一般子流形的若干刻画

In this paper, a fixed point theorem is proved in bipolar controlled b dislocated metric space first time. Also, the findings of this result are applied to Caputo Fractional Differential Equation for finding its unique solution. Additionally, the example is provided to support the finding, which illustrate that the proved result is very simple and efficient.

Akriti Raturi

Surjeet Singh Chauhan

New results in bipolar controlled b-dislocated metric space and its applications for solving fractional differential equations

双极控制b-位移度量空间的新结果及其在求解分数阶微分方程中的应用

This project aims to introduce (z,a ,b) -contractions of type-A in b-metric-like spaces (BMLS) utilizing (a ,b) -Geraghty contractions [Mlaiki et al.] introduced in 2019. In the first section of this work, a new class p U is defined as a collection of maps with certain appropriate constraints. Then, using this class z : [0,∞)p →[0,∞), some fixed point findings are presented with an illustration for efficacy check. Many results in the literature are supported by our findings.

Pooja Dhawan

Vishal Gupta

Akshu Grewal

Fixed point theorems for (z,a ,b) -contraction

(z,a,b) - 压缩的不动点定理

The paper presents new integral formulae involving product of generalized K-Bessel function of first kind ωγ,α k,ϱ,b,c (z) and Hurwitz-Lerch Zeta (HLZ function) function ϕρ,σ ξ,η (z, s, d) are obtained and presented in terms of the generalized (Wright) hypergeometric function. Some useful and interesting cases of main results are also deliberated. The results are obtained using a fascinating integral known as Oberhettinger integral.

Sanjay Sharma

Integral transform of product of generalized k-Bessel function and generalized Hurwitz-Lerch Zeta function

广义k-Bessel函数与广义Hurwitz-Lerch Zeta函数的乘积的积分变换

Abbreviation	J. Interdiscip. Math.
Journal Impact	1.05
Quartiles(Global)	MATHEMATICS(Q1)

ISSN	0972-0502, 2169-012X
h-index	23

Publication Information	Publisher: Taru Publications，Publishing cycle: ，Journal Type: journal，Open Access Journals: No
Basic data	Year of publication: 1998，Proportion of original research papers: 100.00%，Self Citation Rate:36.40%， Gold OA Rate: 0.00%

Journal of Interdisciplinary Mathematics

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Fractional calculus of extended k-generalized Mittag-Leffler function and its properties

Some characterizations on screen generic lightlike submanifolds

New results in bipolar controlled b-dislocated metric space and its applications for solving fractional differential equations

Fixed point theorems for (z,a ,b) -contraction

Integral transform of product of generalized k-Bessel function and generalized Hurwitz-Lerch Zeta function

Fractional calculus of extended k-generalized Mittag-Leffler function and its properties

Some characterizations on screen generic lightlike submanifolds

New results in bipolar controlled b-dislocated metric space and its applications for solving fractional differential equations

Fixed point theorems for (z,a ,b) -contraction

Integral transform of product of generalized k-Bessel function and generalized Hurwitz-Lerch Zeta function