Results 71 to 80 of about 650,024 (164)

Fractional variational problems with the Riesz-Caputo derivative [PDF]

, 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., Ricardo Almeida
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A comprehensive review of the Hermite-Hadamard inequality pertaining to fractional differential operators [PDF]

Surveys in Mathematics and its Applications, 2023
A review on Hermite-Hadamard type inequalities connected with a different classes of convexities and fractional differential operators is presented. In the various classes of convexities it includes, classical convex functions, quasi-convex functions, p ...
Muhammad Tariq, Sotiris K. Ntouyas, Asif Ali Shaikh, Jessada Tariboon   +3 more
doaj  

Some Solutions of Hilfer Fractional Volterra Integral Equations by Using Pathway‐Type Transform

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The Pathway‐type Pε‐transform technique has been introduced as a versatile binomial transform encompassing various classes, including the classical Laplace transform. In this paper, we apply this technique to derive solutions for fractional Volterra integral equations (FVIEs) and fractional Abel–Volterra integral equations (FAVIEs) that involve Hilfer ...
Faten H. Damag, Mohammad Alshammari, Amin Saif, Mohammed S. Alsharafi, Adem Kilicman, Shikha Binwal   +5 more
wiley   +1 more source

Shehu Transform of Hilfer-Prabhakar Fractional Derivatives and Applications on some Cauchy Type Problems

, 2021
In this paper, we are interested on the Shehu transform of both Prabhakar and Hilfer Prabhakar fractional derivative and its regularized version.
Sadaoui Boualem, Belgacem Rachid, Bokhari Ahmed   +2 more
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Generalized Composite Fractional Derivatives and Integral Operators With Incomplete R‐Function Kernels

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
Fractional differential equations (FDEs) have received a lot of interest because of their diverse applications in engineering, mathematical physics, chemistry, and biology. This study introduces a new family of fractional integral operators using incomplete R‐function kernels, advancing the theoretical foundation of FDEs further.
Priti Purohit, Ravi Gupta, Shyamsunder, Biniyam Shimelis, Shikha Binwal   +4 more
wiley   +1 more source

Error Bound of Hermite–Hadamard–Mercer Inequalities via ψ−Conformable Fractional Integral Operators on the Coordinates

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper develops a family of Hermite–Hadamard–Mercer‐type inequalities within the framework of generalized conformable fractional calculus. By interpreting generalized conformable fractional integrals as weighted integral means depending on the order parameter, we derive refined two‐sided bounds for coordinated convex functions that incorporate ...
Jen Chieh Lo, Mohammad Rezwan Habib
wiley   +1 more source

Stability of ψ-Hilfer impulsive fractional differential equations

, 2020
In this paper, we investigate the sufficient conditions for existence and uniqueness of solutions and δ-Ulam–Hyers–Rassias stability of an impulsive fractional differential equation involving ψ-Hilfer fractional derivative.
Kucche, Kishor D., Oliveira, E. Capelas de, Sousa, J. Vanterler da C.   +2 more
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Fractional‐Order Dynamics and Memory Effects in Interbank Liquidity–Risk Contagion

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
Banks are increasingly exposed to liquidity–risk contagion through interbank refinancing links, confidence effects, and balance sheet interactions. This paper develops a fractional‐order extension of a SIR‐type liquidity contagion model previously introduced in Mourad et al. (2022).
Hamza Mourad, Rachid El Ibraqui, Said Fahim, Mohamed El Moufid, Mohamed Lahby, Huaiqin Wu   +5 more
wiley   +1 more source

Approximate Analytical Solutions of the Time‐Fractional Swift–Hohenberg Equation via Yang Transform Adomian Decomposition Method

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This study examines approximate analytical solutions of the time‐fractional Swift–Hohenberg equation involving the Caputo–Fabrizio fractional derivative. The main objective of this study is to investigate efficient analytical approximation techniques using the Yang transform Adomian decomposition method (YTADM).
Mustafa Ahmed Ali, Mehmet Merdan, Serbay Duran   +2 more
wiley   +1 more source

New Generalized Reverse Minkowski Inequality and Related Integral Inequalities via Generalized ·-Fractional Hilfer-Katugampola Derivative

, 2021
This article aims to present the reverse Minkowski inequalityand other related integral inequalities by using the generalized k-fractionalHilfer-Katugampola derivative. We have novelized these inequalities byutilizing the Hölder inequality. Moreover,
Samaira Naz; Department of Mathematics, Government College University of Faisalabad,, Muhammad Nawaz Naeem; Department of Mathematics, Government College University of Faisalabad   +1 more
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