Results 21 to 30 of about 381 (137)
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.This work researches in a class of φ‐Hilfer FDEs with p‐Laplacian operator by evolving an appropriate analytical framework. We demonstrate the existence and uniqueness of solutions utilizing Banach′s fixed‐point theorem. Subsequently, an alternative theorem is applied to verify the existence of at least a single solution. In addition to the theoretical
Mohammed Kaid +6 more
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, 2022 In this work, we establish some new midpoint and trapezoidal type inequalities for prequasiinvex functions via the Katugampola fractional integrals. Some of the results obtained in this paper are generalizations of some earlier results in the literature.
NWAEZE, Eze R., KERMAUSUOR, Seth
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A Novel Fractional Iterative Technique of Order (2λ + 1) With Applications to Engineering
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.Fractional derivatives are widely used to model complex phenomena where classical derivatives fail to provide accurate solutions. As a result, iterative methods involving fractional derivatives have become highly significant for addressing such challenges.
Saima Akram +5 more
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Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.In the present work, two distinct Runge–Kutta methods based on the conformable derivative were introduced for solving fractional differential equations of the first order. Both proposed methods were defined as second‐ and fourth‐order and derived from Taylor series expansions and integral quadrature.
Elyas Arsanjani Toroqi +2 more
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A nonlocal Cauchy problem for nonlinear generalized fractional integro-differential equations
, 2023 In this paper, we study the existence of solutions of a nonlocal Cauchy problem for nonlinear fractional integro-differential equations involving generalized Katugampola fractional derivative.
KHARAT, Vinod V. +2 more
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International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This work investigates the existence of infinitely many nontrivial weak solutions to a boundary value problem involving the right‐sided and left‐sided ψ‐Hilfer fractional derivative and ψ‐Riemann–Liouville fractional integral operators. Using variational methods and critical point theory, we obtain new existence criteria for solutions of the given ...
Amjad Salari +2 more
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On Integral Means for Fractional Calculus Operators of Multivalent Functions [PDF]
, 2006 2000 Mathematics Subject Classification: Primary 30C45, Secondary 26A33, 30C80Integral means inequalities are obtained for the fractional derivatives and the fractional integrals of multivalent functions.
Sümer Eker, S. +2 more
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, 2023 In this paper, by using the weakly Picard operators theory, we investigate some existence and Ulam type stability results for a class of Hadamard partial fractional integral inclusions.
BENCHOHRA, Mouffak +3 more
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Some Classical Properties of the New Conformable Fractional Derivative
, 2022 Some research works dealing with fractional derivatives inspired us to work on this paper. In this paper, we prove some useful results using the definition of new Conformable Fractional Derivative given inAhmed Kajouni, Ahmed Chafiki, Khalid Hilal, and ...
Dr. Anita Dahiya, Nehaa
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An Implicit Fractional Model With Finite Delay and Impulses: Analysis and Computation
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper establishes the existence and uniqueness of solutions for a class of implicit fractional Volterra–Fredholm integrodifferential equations with finite delay and instantaneous impulses. By employing the Banach contraction principle and Schaefer’s fixed‐point theorem, we provide a rigorous analytical foundation for our results.
Abdulrahman A. Sharif +3 more
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