Results 61 to 70 of about 2,981 (208)
Solution of Fractional Order Equations in the Domain of the Mellin Transform
Journal of Nigerian Society of Physical Sciences, 2019 This paper presents the Mellin transform for the solution of the fractional order equations. The Mellin transform approach occurs in many areas of applied mathematics and technology.
Sunday Emmanuel Fadugba
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A New Class of ψ-Caputo Fractional Differential Equations and Inclusion
Journal of Mathematics, 2021 In the present research work, we investigate the existence of a solution for new boundary value problems involving fractional differential equations with ψ-Caputo fractional derivative supplemented with nonlocal multipoint, Riemann–Stieltjes integral and
Wafa Shammakh +2 more
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On generalized fractional integral with multivariate Mittag-Leffler function and its applications
Alexandria Engineering Journal, 2022 The fractional calculus (FC) has been extensively studied by researchers due to its vast applications in sciences in the last few years. In fractional calculus, multivariate Mittag–Leffler functions are considered the powerful extension of the classical ...
Amna Nazir +6 more
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Composition of Fractional Integral and Derivative Operators: Summarised in Tables
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper compiles a complete, detailed list of composition properties for Riemann–Liouville fractional differintegrals, in all possible cases for orders anywhere in the complex plane, with the results presented clearly in a table for easy visual consumption.
Arran Fernandez
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Sequential Riemann–Liouville and Hadamard–Caputo Fractional Differential Systems with Nonlocal Coupled Fractional Integral Boundary Conditions [PDF]
, 2021 In this paper, we initiate the study of existence of solutions for a fractional differential system which contains mixed Riemann–Liouville and Hadamard–Caputo fractional derivatives, complemented with nonlocal coupled fractional integral boundary ...
Jessada Tariboon +3 more
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Generalized Fractional Integral Inequalities of σ-Convex Functions
Journal of MathematicsIn this paper, we prove generalized fractional integral inequalities of Hermite–Hadamard–type with respect to a monotone function for σ-convex functions on account of the Riemann–Liouville fractional integral.
Shweta Lather, Harish Nagar
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
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SOME PROPERTIES OF k-RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2023 In this paper we will introduce some properties of k- Riemann Liouville fractional integral operator involving convolution property. The fractional derivative of k- Riemann Liouville fractional integral operator of integral transforms will be obtained. Applications of this operator will be introduced.
Prajapat, Radhe Shyam, Bapna, Indu Bala
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On left multidimensional riemann-liouville fractional integral [PDF]
, 2017 Here we study some important properties of left multidimensional Riemann-Liouville fractional integral operator, such as of continuity and ...
Anastassiou, George
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