Results 31 to 40 of about 2,998 (256)
A Generalized Fractional Calculus of Variations
, 2013 This is a preprint of a paper whose final and definitive form will appear in Control and Cybernetics.
Odzijewicz, T. +2 more
openaire +3 more sources
Generalized Multiparameters Fractional Variational Calculus [PDF]
International Journal of Differential Equations, 2012 This paper builds upon our recent paper on generalized fractional variational calculus (FVC). Here, we briefly review some of the fractional derivatives (FDs) that we considered in the past to develop FVC. We first introduce new one parameter generalized fractional derivatives (GFDs) which depend on two functions, and show that many of the one ...
openaire +4 more sources
Fractional calculus and application of generalized Struve function [PDF]
SpringerPlus, 2016 A new generalization of Struve function called generalized Galué type Struve function (GTSF) is defined and the integral operators involving Appell's functions, or Horn's function in the kernel is applied on it. The obtained results are expressed in terms of the Fox-Wright function.
Kottakkaran Sooppy Nisar +2 more
openaire +2 more sources
Discrete Mittag-Leffler Functions in Linear Fractional Difference Equations
Abstract and Applied Analysis, 2011 This paper investigates some initial value problems in discrete fractional calculus. We introduce a linear difference equation of fractional order along with suitable initial conditions of fractional type and prove the existence and uniqueness of the ...
Jan Čermák +2 more
doaj +1 more source
Fractional Calculus of the Generalized Mittag-Leffler Type Function [PDF]
International Scholarly Research Notices, 2014 We introduce and study a new function called R-function, which is an extension of the generalized Mittag-Leffler function. We derive the relations that exist between the R-function and Saigo fractional calculus operators. Some results derived by Samko et al. (1993), Kilbas (2005), Kilbas and Saigo (1995), and Sharma and Jain (2009) are special cases of
Dinesh Kumar, Sunil Kumar
openaire +2 more sources
Analysis of the family of integral equation involving incomplete types of I and Ī-functions
Applied Mathematics in Science and Engineering, 2023 The present article introduces and studies the Fredholm-type integral equation with an incomplete I-function (IIF) and an incomplete $ \bar {I} $ -function (I $ \bar {I} $ F) in its kernel.
Sanjay Bhatter +5 more
doaj +1 more source
Special Functions of Fractional Calculus in the Form of Convolution Series and Their Applications
Mathematics, 2021 In this paper, we first discuss the convolution series that are generated by Sonine kernels from a class of functions continuous on a real positive semi-axis that have an integrable singularity of power function type at point zero.
Yuri Luchko
doaj +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Allogeneic hematopoietic stem cell transplantation (alloHSCT) is an essential therapy for several malignant and nonmalignant diseases, but relapse and graft loss remain the principal threats to its success. Routine monitoring of chimerism and minimal residual disease (MRD) enables early detection of imminent recurrence and guides ...
Carmen Junk +10 more
wiley +1 more source
On certain fractional calculus operators involving generalized Mittag-Leffler function [PDF]
Sahand Communications in Mathematical Analysis, 2016 The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj [25].
Dinesh Kumar
doaj
Journal of Advanced Engineering and Computation, 2021 This survey-cum-expository review article is motivated essentially by the widespread usages of the operators of fractional calculus (that is, fractional-order integrals and fractional-order derivatives) in the modeling and analysis of a remarkably large ...
Hari Mohan Srivastava
doaj +1 more source