Results 41 to 50 of about 2,428 (290)
Fractional variational problems with the Riesz-Caputo derivative
, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R. +2 more
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A new Definition of Fractional Derivative and Fractional Integral [PDF]
Kirkuk University Journal-Scientific Studies, 2018 In this paper, we introduce three different definitions of fractional derivatives, namely Riemann-Liouville derivative, Caputo derivative and the new formula Caputo expansion formula, and some basics properties of these derivatives are discussed.
openaire +2 more sources
On the Theory of Fractional Calculus in the Pettis-Function Spaces
Journal of Function Spaces, 2018 Throughout this paper, we outline some aspects of fractional calculus in Banach spaces. Some examples are demonstrated. In our investigations, the integrals and the derivatives are understood as Pettis integrals and the corresponding derivatives.
Hussein A. H. Salem
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A new Generalized fractional derivative and integral
, 2017 In this article, we introduce a new general definition of fractional derivative and fractional integral, which depends on an unknown kernel. By using these definitions, we obtain the basic properties of fractional integral and fractional derivative such as Product Rule, Quotient Rule, Chain Rule, Roll's Theorem and Mean Value Theorem.
AKKURT, Abdullah +2 more
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Mellin transforms of generalized fractional integrals and derivatives [PDF]
Applied Mathematics and Computation, 2015 We obtain the Mellin transforms of the generalized fractional integrals and derivatives that generalize the Riemann-Liouville and the Hadamard fractional integrals and derivatives. We also obtain interesting results, which combine generalized $δ_{r,m}$ operators with generalized Stirling numbers and Lah numbers.
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The Lamb-Bateman integral equation and the fractional derivatives [PDF]
Fractional Calculus and Applied Analysis, 2011 3 pages; revised version (misprints corrected, acknowledgements added)
Danilo Babusci +2 more
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, 2010 Solute transport in soils is commonly simulated with the advective–dispersive equation, or ADE. It has been reported that this model cannot take into account several important features of solute movement through soil.
San Jose Martinez, Fernando
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Variable-Order Fractional Calculus: from Old to New Approaches
, 2023 Different approaches to introduce fractional derivatives and integrals of variable order have been proposed. The majority of these operators are obtained by replacing the constant order with some function in the time-domain formulation of the usual ...
Garrappa R., Giusti A., Mainardi F.
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Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?
FEBS Letters, EarlyView.This graphical summary illustrates the roles of phosphatidylinositol 4‐kinases (PI4Ks). PI4Ks regulate key cellular processes and can be hijacked by pathogens, such as viruses, bacteria and parasites, to support their intracellular replication. Their dual role as essential host enzymes and pathogen cofactors makes them promising drug targets.
Ana C. Mendes +3 more
wiley +1 more source
New Approaches to Fractal–Fractional Bullen’s Inequalities Through Generalized Convexity
Fractal and FractionalThis paper introduces a new identity involving fractal–fractional integrals, which allow us to derive several new Bullen-type inequalities via generalized convexity.
Wedad Saleh +4 more
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