Results 1 to 10 of about 237 (141)
On the Nonlinear Fractional Differential Equations with Caputo Sequential Fractional Derivative [PDF]
Advances in Mathematical Physics, 2015 The purpose of this paper is to investigate the existence of solutions to the following initial value problem for nonlinear fractional differential equation involving Caputo sequential fractional derivative Dc0α2Dc0α1yxp-2Dc0α1yx=fx,yx, x>0, y(0)=b0 ...
Hailong Ye, Rui Huang
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Foundations, 2022 It is known that, from a modeling point of view, fractional dynamic equations are more suitable compared to integer derivative models. In fact, a fractional dynamic equation is referred to as an equation with memory.
Aghalaya S. Vatsala +2 more
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Series Solution Method for Solving Sequential Caputo Fractional Differential Equations
AppliedMath, 2023 Computing the solution of the Caputo fractional differential equation plays an important role in using the order of the fractional derivative as a parameter to enhance the model. In this work, we developed a power series solution method to solve a linear
Aghalaya S. Vatsala, Govinda Pageni
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MathematicsIn the literature so far, for Caputo fractional boundary value problems of order 2q when ...
Aghalaya S. Vatsala +1 more
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Hyers-Ulam-Rassias Stability of some sequential neutral functional differential equations with Caputo-Hadamard fractional derivative [PDF]
Miskolc Mathematical NotesIn this article, we employ a fixed point theory to investigate the stability in the sense of Hyers-Ulam-Rassias of some sequential neutral functional differential equations with Caputo-Hadamard fractional derivative. We present two examples to illustrate
Abdellatif Ben Makhlouf +1 more
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MathematicsThis paper aims to establish the existence and uniqueness of mild solutions to abstract sequential fractional differential equations. The approach employed involves the utilization of resolvent operators and the fixed-point theorem.
Abdelhamid Mohammed Djaouti +2 more
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Neutral functional sequential differential equations with Caputo fractional derivative on time scales [PDF]
Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 In this paper, we establish the existence and uniqueness of a solution for a class of initial value problems for implicit fractional differential equations with Caputo fractional derivative.
Jamal Eddine Lazreg +3 more
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Basic Results for Sequential Caputo Fractional Differential Equations
Mathematics, 2015 We have developed a representation form for the linear fractional differential equation of order q when 0 < q < 1, with variable coefficients.
Bhuvaneswari Sambandham +1 more
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Numerical Results for Linear Sequential Caputo Fractional Boundary Value Problems
Mathematics, 2019 The generalized monotone iterative technique for sequential 2 q order Caputo fractional boundary value problems, which is sequential of order q, with mixed boundary conditions have been developed in our earlier paper.
Bhuvaneswari Sambandham +2 more
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On system of nonlinear coupled differential equations and inclusions involving Caputo-type sequential derivatives of fractional order [PDF]
Journal of Taibah University for Science, 2022 We investigate a new class of boundary value problems of a nonlinear coupled system of sequential fractional differential equations and inclusions involving Caputo fractional derivatives and boundary conditions. We use standard fixed-point theory tools to deduce sufficient criteria for the existence and uniqueness of solutions to the problems at hand ...
M. Subramanian +4 more
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